Institute of Computer Science
Jagiellonian University

prof. Stanisława Łojasiewicza 6
PL-30-348 Krakow
POLAND

Office 2058

tel: (48) 12 664 66 68
fax: (48) 12 664 66 73
e-mail: ochal (at) ii.uj.edu.pl

  • variational equations and inequalities with applications to mechanics
    • modeling of various problems in mechanics
    • viscoelastic contact problems
    • piezoelectric materials
  • stationary and evolution hemivariational inequalities
    • existence of solutions
    • characteristic of solution set
    • asymptotic behaviour of solutions
  • optimization and control theory
    • optimal shape design
    • identification and inverse problems
  • evolution partial differential equations
  • differential inclusions
  • calculus of variations
Main topics include:
pseudomonotone operators, Clarke's subdifferential, nonconvex, locally Lipschitz and possibly discontinuous superpotentials, nonmonotone multivalued constitutive laws, nonmonotone friction problems, contact problems, optimal design and identification, piezoelecticity, termoviscoelastisity, method of calculus of variations, critical point theory for nondifferentiable maps, applications to mechanics and engineering
Education:
2013 Habilitation in Mathematics, Faculty of Mathematics and Computer Science of Jagiellonian University
HABILITATION THESIS: Hemivariational Inequalities and their Applications to Contact Mechanics
2001 Ph.D. in Mathematics, Faculty of Mathematics and Physics of Jagiellonian University
PH.D. THESIS: Optimal Control Problems for Evolution Hemivariational Inequalities of Second Order, supervisor: Stanislaw Migorski
1994 M.Sc. in Computer Science, Institute of Computer Science of Jagiellonian University
1993 M.Sc. in Mathematics, Institute of Mathematics of Jagiellonian University
Professional experience:
2004- present Associate Professor (Adjunct) in Department of Optimization and Control Theory at Institute of Computer Science at Jagiellonian University
1994-2004 Assistant Professor in Department of Numerical Methods at Institute of Computer Science at Jagiellonian University
2002-2003 Postdoc Fellowship on Evolution Equations for Deterministic and Stochastic System, Ecole Politechnique, Paris, France (9 months)
1995 Scholarship at Technical University, Athens, Greece (3 months)
Awards:
2001, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 A reward of the Rector of Jagiellonian University for prominent scientific achievements
1994 A honor distinction for M. Sc. thesis in Computer Science from Jagiellonian University
1993 A honor distinction for M. Sc. thesis in Mathematics from Jagiellonian University
Book:
  1. S. Migorski, A. Ochal, M. Sofonea, Nonlinear Inclusions and Hemivariational Inequalities. Models and Analysis of Contact Problems, series "Advances in Mechanics and Mathematics", vol. 26, Springer, New York, 2013, pages: 287, ISBN: 978-1-4614-4231-8

Papers:
  1. S. Migorski, A. Ochal, M. Sofonea, A class of variational-hemivariational inequalities in refexive Banach spaces, Journal of Elasticity, 127 (2017), 151-178, doi: 10.1007/s10659-016-9600-7
  2. K. Bartosz, P. Kalita, S. Migorski, A. Ochal, M. Sofonea, History-dependent problems with applications to contact models for elastic beams, Applied Mathematics and Optimization, 73 (2016), 71-98, doi: 10.1007/s00245-015-9292-6
  3. L. Gasinski, A. Ochal, M. Shillor, Quasistatic thermoviscoelastic problem with normal compliance, multivalued friction and wear diffusion, Nonlinear Analysis Real World Applications, 27 (2016), 183-202, doi: 10.1016/j.nonrwa.2015.07.006
  4. L. Gasinski, A. Ochal, Modeling of quasistatic thermoviscoelastic frictional problem with normal compliance and damage effect, Journal of Coupled Systems and Multiscale Dynamics, 3(3) (2015), 253-261, doi:10.1166/jcsmd.2015.1084
  5. L. Gasinski, A. Ochal, M. Shillor, Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage, Journal for Analysis and its Applications (ZAA), 34(3) (2015), 251-275
  6. L. Gasinski, S. Migorski, A. Ochal, Existence results for evolutionary inclusions and variational-hemivariational inequalities, Applicable Analysis, 94(8) (2015), 1670-1694, doi: 10.1080/00036811.2014.940920
  7. S. Migorski, A. Ochal, M. Sofonea, History-dependent variational-hemivariational inequalities in contact mechanics, Nonlinear Analysis Real World Applications, 22 (2015), 604-618, doi:10.1016/j.nonrwa.2014.09.021
  8. L. Gasinski, Z. Liu, S. Migorski, A. Ochal, Z. Peng, Hemivariational inequality approach to evolutionary constrained problems on star-shaped sets, Journal of Optimization Theory and Applications, 164(2) (2015), 514-533, doi: 10.1007/s10957-014-0587-6
  9. L. Gasinski, A. Ochal, Dynamic thermoviscoelastic problem with friction and damage, Nonlinear Analysis Real World Applications, 21 (2015), 63-75
  10. S. Migorski, A. Ochal, M. Sofonea, Analysis of a piezoelectic contact problem with subdifferential boundary condition, Proceedings of the Royal Society of Edinburgh (Mathematics), 144A (2014), 1007-1025
  11. X. Cheng, S. Migorski, A. Ochal, M. Sofonea, Analysis of two quasistatic history-dependent contact models, Discrete and Continuous Dynamical Systems B., 19 (2014), 2425-2445, doi: 10.3934/dcdsb.2014.19.2425
  12. S. Migorski, A. Ochal, M. Shillor, M. Sofonea, A model of a spring-mass-damper system with temperature-dependent friction, European Journal of Applied Mathematics, 25 (2014), 45-64, doi: 10.1017/S0956792513000272
  13. S. Migorski, A. Ochal, M. Sofonea, History-dependent hemivariational inequalities with applications to Contact Mechanics, Annals of the University of Bucharest. Mathematical Series, 4 (LXII) (2013), 193-212
  14. S. Migorski, A. Ochal, M. Sofonea, Weak solvability of two quasistatic viscoelastic contact problems, Mathematics and Mechanics of Solids, 18 (2013), 745-759, doi: 10.1177/1081286512448185
  15. S. Migorski, A. Ochal, M. Sofonea, History-dependent subdifferential inclusions and hemivariational inequalities in contact mechanics, Nonlinear Analysis Series B: Real World Applications, 12 (2011), 3384-3396
  16. S. Migorski, A. Ochal, M. Sofonea, Analysis of a quasistatic contact problem for piezoelectric materials, Journal of Mathematical Analysis and Applications, 382 (2011), 701-713
  17. Z. Denkowski, S. Migorski, A. Ochal, A class of optimal control problems for piezoelectric frictional contact models, Nonlinear Analysis Series B: Real World Applications, 12 (2011), 1883-1895
  18. S. Migorski, A. Ochal, M. Sofonea, Analysis of Frictional Contact Problem for Viscoelastic Materials with Long Memory, Discrete and Continuous Dynamical Systems, Series B, 15(3) (2011), 687-705
  19. S. Migorski, A. Ochal, M. Sofonea, Analysis of lumped models with contact and friction, Zeitschrift für angewandte Mathematik und Physik, 62 (2011), 99-113
  20. S. Migorski, A. Ochal, M. Sofonea, Variational analysis of fully coupled electro-elastic frictional contact problems, Mathematische Nachrichten, 283(9) (2010), 1314-1335
  21. S. Migorski, A. Ochal, M. Sofonea, Analysis of a dynamic contact problem for electro-viscoelastic cylinders, Nonlinear Analysis Series A: Theory Methods and Applications, 73 (2010), 1221-1238
  22. S. Migorski, A. Ochal, An inverse coefficient problem for a parabolic hemivariational inequality, Applicable Analysis, 89 (2) (2010), 243-256
  23. S. Migorski, A. Ochal, M. Sofonea, A dynamic frictional contact problem for piezoelectric materials, Journal of Mathematical Analysis and Applications, 361 (2010), 161-176
  24. S. Migorski, A. Ochal, M. Sofonea, Weak solvability of antiplane frictional contact problems for elastic cylinders, Nonlinear Analysis Series B: Real World Applications, 11 (2010), 172-183
  25. S. Migorski, A. Ochal, M. Sofonea, An evolution problem in nonsmooth elasto-viscoplasticity, Nonlinear Analysis Series A: Theory Methods and Applications, 71 (2009), e2766-e2771
  26. S. Migorski, A. Ochal, M. Sofonea, Modeling and analysis of an antiplane piezoelectric contact problem, Mathematical Models and Methods in Applied Sciences, 19(8) (2009), 1295-1324
  27. S. Migorski, A. Ochal, Quasistatic hemivariational inequality via vanishing acceleration approach, SIAM Journal on Mathematical Analysis, 41 (2009), 1415-1435
  28. S. Migorski, A. Ochal, M. Sofonea, Solvability of dynamic antiplane frictional contact problems for viscoelastic cylinders, Nonlinear Analysis Series A: Theory Methods and Applications, 70 (2009), 3738-3748
  29. S. Migorski, A. Ochal, M. Sofonea, Weak solvability of a piezoelectric contact problem, European Journal of Applied Mathematics, 20 (2009), 145-167
  30. S. Migorski, A. Ochal, Dynamic bilateral contact problem for viscoelastic piezoelectric materials with adhesion, Nonlinear Analysis Series A: Theory Methods and Applications, 69 (2008), 495-509
  31. S. Migorski, A. Ochal, M. Sofonea, Analysis of a dynamic elastic-viscoplastic contact problem with friction, Discrete and Continuous Dynamical Systems, Series B, 10 (4) (2008), 887-902
  32. S. Migorski, A. Ochal, M. Sofonea, Integrodifferential hemivariational inequalities with applications to viscoelastic frictional contact, Mathematical Models and Methods in Applied Sciences, 18(2) (2008), 271-290
  33. Z. Liu, S. Migorski, A. Ochal, Homogenization of boundary hemivariational inequalities in linear elasticity, Journal of Mathematical Analysis and Applications, 340 (2008), 1347-1361
  34. Z. Denkowski, S. Migorski, A. Ochal, Optimal control for a class of mechanical thermoviscoelastic frictional control problems, Control and Cybernetics, 36(3) (2007), 611-632
  35. S. Migorski, A. Ochal, Navier-Stokes problems modeled by evolution hemivariational inequalities, Discrete and Continuous Dynamical Systems, Supplement 2007, 731-740
  36. S. Migorski, A. Ochal, Nonlinear impulsive evolution inclusions of second order, Dynamic Systems and Applications, 16 (2007), 155-174
  37. S. Migorski, A. Ochal, Vanishing viscosity for hemivariational inequality modeling dynamic problems in elasticity, Nonlinear Analysis Series A: Theory Methods and Applications, 66(8) (2007), 1840-1852
  38. Z. Denkowski, S. Migorski, A. Ochal, Existence and uniqueness to a dynamic bilateral frictional contact problem in viscoelasticity, Acta Applicandae Mathematicae, 94(3) (2006), 251-276
  39. S. Migorski, A. Ochal, A unified approach to dynamic contact problems in viscoelasticity, Journal of Elasticity, 83(3) (2006), 247-276
  40. S. Migorski, A. Ochal, Existence of solutions for second order evolution inclusions with application to mechanical contact problems, Optimization, 55 (2006), 101-120
  41. A. Ochal, Viscoelastic bilateral contact problem involving Coulomb friction law, WSEAS Transactions on Mathematics, 1(5) (2006), 63-68
  42. H. Frankowska, A. Ochal, On singularities of value function for Bolza optimal control problem, Journal of Mathematical Analysis and Applications, 306 (2005), 714-729
  43. S. Migorski, A. Ochal, Hemivariational inequalities for stationary Navier-Stokes equations, Journal of Mathematical Analysis and Applications, 306 (2005), 197-217
  44. S. Migorski, A. Ochal, Hemivariational inequalities for viscoelastic contact problem with slip dependent friction, Nonlinear Analysis Series A: Theory Methods and Applications, 61 (2005), 135-161
  45. A. Ochal, Existence results for evolution hemivariational inequalities of second order, Nonlinear Analysis Series A: Theory Methods and Applications, 60 (2005), 1369-1391
  46. S. Migorski, A. Ochal, Boundary hemivariational inequality of parabolic type, Nonlinear Analysis Series A: Theory Methods and Applications, 57 (2004), 579-596
  47. A. Ochal, Optimal control in superpotential for evolution hemivariational inequality, WSEAS Transactions on Mathematics, 1(1) (2003), 48-53
  48. S. Migorski, A. Ochal, Optimal control of parabolic hemivariational inequalities, Journal of Global Optimization, 17 (2000), 285-300
  49. A. Ochal, Domain identification problem for elliptic hemivariational inequalities, Topological Methods in Nonlinear Analysis, 16 (2000), 267-278

Book chapters:
  1. S. Migorski, A. Ochal, M. Sofonea, Evolutionary inclusions and hemivariational inequalities, Chapter 2 in: Advances in Variational and Hemivariational Inequalities. Theory, Numerical Analysis, and Applications, (Advances in Mechanics and Mathematics (AMMA)), Springer Science+Business Media Series, W. Han, S. Migorski, M. Sofonea (Eds.), vol. 33, 2015, 39-64
  2. S. Migorski, A. Ochal, M. Sofonea, Two history-dependent contact problems, Chapter 14 in: Advances in Variational and Hemivariational Inequalities. Theory, Numerical Analysis, and Applications, (Advances in Mechanics and Mathematics (AMMA)), Springer Science+Business Media Series, W. Han, S. Migorski, M. Sofonea (Eds.), vol. 33, 2015, 355-379
  3. S. Migorski, A. Ochal, M. Sofonea, A class of history-dependent inclusions with applications to contact problems, Chapter 3 in: Optimization and Control Techniques with Applications, Springer Proceedings in Mathematics & Statistics, H. Xu, K.L. Teo, Y. Zhang (Eds.), vol. 86, 2014, 45-74
  4. S. Migorski, A. Ochal, Nonconvex Inequality Models for Contact Problems of Nonsmooth Mechanics, Chapter 3 in: Computer Methods in Mechanics, Advanced Structured Materials, M. Kuczma, K. Wilmanski (Eds.), vol. 1, 2010, Springer, Berlin, Heidelberg, 43-58
  5. S. Migorski, A. Ochal, Inverse Coefficient Problem for Elliptic Hemivariational Inequality, Chapter 11 in: Nonconvex Optimization and its Applications, Nonsmooth/ Nonconvex Mechanics, 2001, Kluwer Academic Publishers, Netherlands, 247-261

Proceedings:
  1. S. Migorski, A. Ochal, Evolution hemivariational inequalities for Navier-Stokes type operators, Proceedings of the International Conference on Nonsmooth/Nonconvex Mechanics with Applications in Engineering, II. NNMAE 2006, Thessaloniki, Greece, July 7-8, 2006, Baniotopoulos C.C., (ed.), 93-98
  2. S. Migorski, A. Ochal, Existence of solutions to boundary parabolic hemivariational inequalities, Proceedings of the International Conference on Nonsmooth/Nonconvex Mechanics with Applications in Engineering, I. NNMAE 2002, Thessaloniki, Greece, July 5-6, 2002, Baniotopoulos C.C., (ed.), 53-60
  3. A. Ochal, Optimal control problems for hemivariational inequalities, Third Polish Conference on Methods and Computer Systems in Scientific Researches and Engineering Design, Krakow, Poland, November 19-21, 2001, Tadeusiewicz R., Ligeska A., Szymkat M., (eds), 15-18

Others:
  • S. Migorski, A. Ochal, M. Shillor, M. Sofonea, Nonsmooth Dynamic Frictional Contact of a Thermoviscoelastic Body, Applicable Analysis GAPA, in press (2018), doi: 10.1080/00036811.2017.1344227
  • A. Ochal, M. Jureczka, Numerical treatment of contact problems with thermal effect, Discrete and Continuous Dynamical Systems B., accepted (2018)
2018
  • Emerging Trends in Applied Mathematics and Mechanics, Krakow, Poland (June 18-22, 2018) ETAMM 2018
    organizer
    lecture:
2017
  • Seminar "Nonlocal PDEs", Zakopane, Male Ciche, Poland (September 26-29, 2017) Nonlocal 2017
    organizer
  • Mathematical Analysis with Applications in Mechanics, International Conference in honor of Mircea Sofonea for his 60th birthday, Perpignan, France (September 6-8, 2017) MAAM 2017
    lecture: Variational-hemivariational Inequalities with Applications to Contact Mechanics
  • Seventh German-Polish Conference on Optimization, Poznan, Bedlewo, Poland (August 27 - September 1, 2017) GPCO 2017
    lecture: Variational-hemivariational Inequalities with Optimal Control
  • International Workshop on Recent Advances in Variational/Hemivariational Inequalities and Applications, Xi'an Jiaotong University, Xi'an, Shaanxi, China (June 24-26, 2017) Xi'an 2017
    lecture: Elliptic variational-hemivariational inequalities in mathematical modeling
2016
  • Symposium on Optimal Control and Related Topics. Czesław Olech in memoriam, Warsaw, Poland (October 20-21, 2016) Olech 2016
    lecture: Optimal control for doubly nonlinear evolutionary inclusions
  • Tenth Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (June 19-24, 2016) X FRRC 2016
    lecture: Variational-hemivariational inequalities in mathematical modeling
  • Dynamical Systems and Applications (IV), Lodz, Poland (June 16-18, 2016) DSA 2016
    organizer
    lecture: A penalty method for an elliptic variational-hemivariational inequality
  • Emerging Trends in Applied Mathematics and Mechanics, Perpignan, France (May 30 - June 3, 2016) ETAMM 2016
    lecture: Hemivariational inequalities with applications to dynamic contact problems in thermoviscoelasticity (MS2)
    lecture: Modeling and error estimates of quasistatic history-dependent contact model (MS3)
  • Eighth Contact Mechanics International Symposium, Warsaw, Poland (May 11-13, 2016) CMIS 2016
    lecture: Dynamic frictional contact of a thermoviscoelastic body with an obstacle
  • Seminar at UMK (The Nicolaus Copernicus University in Torun), Poland (January 18, 2016)
    lecture: Evolution hemivariational inequalities and their applications
2015
  • International Conference on Nonlinear Operators, Differential Equations and Applications, Cluj-Napoca, Romania (July 14-17, 2015) ICNODEA 2015
    lecture: On some variational-hemivariational inequalities with application in Contact Mechanics
  • Twenty Seventh IFIP TC7 Conference 2015 on System Modelling and Optimization, Sophia Antipolis, France (June 29 - July 3, 2015) IFIP 2015
    lecture: Optimal control problems in nonsmooth Contact Mechanics via hemivariational inequalities
  • Seminar "Singular PDEs, Analytical Tools and Applications", Zakopane, Male Ciche, Poland (June 24-27, 2015) Singularities 2015
    organizer
  • Workshop CONTACT, Perpignan, France (June 10-12, 2015)
    lecture: Variational-hemivariational inequalities and their applications in Contact Mechanics
  • Dynamical Systems and Applications (III), Lodz, Poland (April 16, 2015) DSA 2015
    organizer
2014
  • Asymptotics of Dynamical Systems, Lodz, Poland (December 2, 2014) ADS 2014
    lecture: Nonlinear boundary problems via hemivariational inequalities
  • Applied Mathematics Conference, A conference to celebrate the 65th birthday of Professor Meir (Fiki) Shillor, Oakland University, Rochester, Michigan, USA (September 13, 2014) Fiki 2014
    lecture: On history-dependent hemivariational inequalities with applications (invited talk)
  • Ninth Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (September 1 - 5, 2014) IX FRRC 2014
    lecture: (Hemi)variational inequalities in mathematical modeling (a plenary talk)
  • International Workshop on Variational and Hemivariational Inequalities: Theory, Numerics, and Applications, Xi'an Jiaotong University, Xi’an, Shaanxi, China (June 28-30, 2014) Xi'an 2014
    lecture: History-dependent hemivariational inequalities in Contact Mechanics (plenary talk)
  • Dynamical Systems and Applications (II), Lodz, Poland (June 12, 2014) DSA 2014
    lecture: Existence results for variational-hemivariational inequalities with applications
  • Calculus of Variations and Optimization, A conference to celebrate the 60th birthday of Giuseppe Buttazzo, Pisa, Italy, (May 21-23, 2014) Buttazzo 2014
2013
  • The 2013 World Congress on Global Optimization, Huangshan, Anhui, China (July 8-10, 2013) WCGO 2013
    lecture: History-dependent hemivariational inequalities - applications and optimization methods
  • Dynamical Systems and Applications, Lodz, Poland (May 7, 2013) DSA 2013
    lecture: Solvability of nonlinear problems in contact mechanics
2012
  • French-Romanian Conference on applied Mathematics, Bucarest, Romania (August 24-30, 2012) CFR 2012
    lecture: Quasistatic Frictional Contact Problems via Hemivariational Inequalities
  • Calculus of Variations and PDEs, Szczawnica, Poland (July 9-12, 2012) Calc 2012
  • Eighth Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (June 17 - 22, 2012) VIII FRRC 2012
    lecture: On a class of history-dependent inclusions (a plenary talk)
2011
  • Fifth German Polish Conference on Optimization - Methods and Applications, Dobczyce, Krakow, Poland (November 9-13, 2011) 5GPCO 2011
    lecture: Optimal control problems in nonsmooth contact mechanics (a plenary talk)
  • Twenty Fifth IFIP TC 7 Conference on System Modeling and Optimization, Berlin, Germany (September 12-16, 2011) 25th IFIP 2011
    lecture: On some evolution variational - hemivariational inequalities with application
    lecture: Fully nonlinear viscoelastic contact problems - modeling and optimization methods
  • Sixth Symposium on Nonlinear Analysis, Torun, Poland (September 7-9, 2011) SNA 2011
    lecture: Nonlinear analysis in modeling of contact problems in mechanics
  • Workshop on Functional Analysis and its Applications in Mathematical Physics and Optimal Control, Nemecka, Slovak Republic (September 5-10, 2011)
    lecture: Optimal control for a class of history-dependent hemivariational inequalities
  • 19th French-Polish Seminar of Mechanics, Perpignan, France (June 8-12, 2011) SFPM 2011
    lecture: Antiplane frictional contact problems for electroviscoelastic cylinders
  • 19th International Conference on Computer Methods in Mechanics, Warsaw, Poland (May 9-12, 2011) CMM 2011
    lecture: Optimal control problems for a class of evolution inclusions with applications to dynamic and quasi-static viscoelastic contact problems
  • The AMS 2011 Spring Central Section Meeting, University of Iowa, Iowa City, USA (March 18-20, 2011) AMS 2011
    lecture: Dynamic antiplane frictional contact problems - modeling and analysis
2010
  • 10 years of mathematics on UKSW, Warsaw, Poland (November 17-18, 2010) UKSW 2010
  • Seminar "Inequalities and Partial Differential Equations", Zakopane, Male Ciche, Poland (September 21-26, 2010) Inequalities 2010
    lecture: Hemivariational inequalities with applications
  • Workshop "Nonlinear Optimization, Variational Inequalities and Equilibrium Problems", International School of Mathematics "G. Stampacchia", Erice, Italy (July 2 - 10, 2010) ERICE 2010
    lecture: Optimal control for integrodifferential hemivariational inequalities
  • Seventh Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (June 13 - 18, 2010) VII FRRC 2010
    lecture: Mathematical model of contact problem for viscoelastic materials with long memory
  • Eighth AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden University of Technology, Dresden , Germany (May 25 - 28, 2010) AIMS 2010
    lecture: Frictional contact boundary conditions via hemivariational inequalities
    lecture: Quasistatic viscoelastic and thermoviscoelastic contact models
  • Miniconference "Methods of Optimization", Warsaw, Poland (May 10-11, 2010)
    lecture: Evolution hemivariational inequalities and applications
  • First Mini Symposium "Differential Equations with Applications", Lodz, Poland (April 16, 2010)
    lecture: Hemivariational inequalities for 1-D dynamical contact problems

2009
  • Third International Conference on Complex Systems and Applications, University of Le Havre, Le Havre, Normandy, France (June 29 - July 02, 2009) ICCSA 2009
    lecture: On quasistatic models of contact phenomena
  • Workshop "PhaseVariations '09" (bimester: Geometric Properties of Nonlinear Local and Nonlocal Problems), University of Pavia, Italy (May 21-22, 2009) PV 2009, IMATI CNR 2009
    lecture: Hemivariational inequality approach to dynamic contact (a plenary talk)
  • The First World Congress on Global Optimization with Applications in Engineering and Science, Hunan University, China (June 1-5, 2009) WCGO 2009
    lecture: On a quasistatic hemivariational inequality
  • Fourth German Polish Conference on Optimization Methods and Applications, Moritzburg, Saxony, Germany (March 14-18, 2009) GPCO 2009
    lecture: A class of optimal control problems for piezoelectric frictional contact models

2008
  • Seminar "Around Differential Inclusions", Zakopane, Male Ciche, Poland (September 26-29, 2008) Inclusions 2008
    lecture: Nonconvex superpotential laws - stationary hemivariational inequalities
  • Eighth World Conference on Computational Mechanics (WCCM VIII) and Fifth European Congress on Computational Methods in Applied Science and Engineering (ECCOMAS V), Venice, Italy (June 30 - July 5, 2008) IACM-ECCOMAS 2008
    lecture: Asymptotic homogenization of hemivariational inequalities
  • Sixth Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (June 2 - 4, 2008) VI FRRC 2008
    lecture: Antiplane contact problems in elasticity
  • Seventh AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Arlington, Texas, USA (May 18 - 21, 2008) DSDEA 2008
    lecture: A class of dynamic hemivariational inequalities modeling fully nonlinear viscoelastic contact problems
2007
  • Fifth Symposium on Nonlinear Analysis, Torun, Poland (September 10-14, 2007) SNA 2007
    lecture: Nonlinear impulsive evolution inclusions of second order
  • Seminar "Around Calculus of Variations", Zakopane, Male Ciche, Poland (August 29 - September 1, 2007) Calculus 2007
    lecture: Gamma-convergence and optimal control problems
  • Twenty Third IFIP TC 7 Conference on System Modeling and Optimization, Krakow, Poland (July 23-27, 2007) 23rd IFIP 2007
    lecture: On integrodifferential hemivariational inequalities for viscoelastic materials with long memory term
  • EMS Conference on Geometric Analysis and Nonlinear PDE, Poznan, Bedlewo, Poland (June 3-10, 2007) GANPDE 2007
    lecture: Nonsmooth nonlinearities in contact mechanics
2006
  • Seminar "Maximum Principle - Various Points of View", Zakopane, Male Ciche, Poland (August 30 - September 2, 2006) Maximum 2006
    lecture: Maximum principle for vector-valued minimizers of some integral functionals
  • Second International Conference on Nonsmooth/Nonconvex Mechanics with Applications in Engineering, Thessaloniki, Greece (July 7-8, 2006) NNMAE 2006
    lecture: Evolution hemivariational inequalities for Navier-Stokes type operators
  • The AIMS Sixth International Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, France (June 25-28, 2006) DSDEA 2006
    lecture: Evolution hemivariational inequalities for Navier-Stokes type operators (extended version)
  • Workshop on Evolution Equations for Deterministic and Stochastic Systems, Vienna, Austria (June 5-8, 2006) RTN-workshop 2006
    lecture: A trial of unification in contact mechanics which leads to differential inclusion
  • Fifth Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (May 29 - June 2, 2006) V FRRC 2006
    lecture: On some contact problems in mechanics
  • Spring School on Variational Analysis, Paseky, Czech Republic (April 23-29, 2006) Paseky 2006
  • Advanced School on Methods of Multivalued Analysis, Torun, Poland (February 15-18, 2006) MMA 2006
2005
  • Eighth WSEAS Conference on Applied Mathematics, Tenerife, Canary Islands, Spain (December 16-18, 2005)
    lecture: Viscoelastic bilateral contact problem involving Coulomb friction law
  • Third German-Polish Conference on Optimization Methods and Applications, Poznan, Bedlewo, Poland (November 10-13, 2005)
    lecture: On some dynamic bilateral frictional contact problem in viscoelasticity
  • Twenty Second IFIP TC7 Conference on System Modeling and Optimization, Torino, Italy (July 18-22, 2005)
    lecture: A model of viscoelastic contact problem with slip dependent friction
  • Seminar "Sobolev Inequalities - Various Points of View", Zakopane, Male Ciche, Poland (June 16-19, 2005)
    lecture: On some viscoelastic contact problems in mechanics
2004
  • Advanced School on Nonsmooth Mechanics of Solids, Udine, Italy (October 4-8, 2004)
  • Twelfth French-German-Spanish Conference on Optimization, Avignon, France, (September 20-24,2004)
    lecture: Hemivariational inequality for viscoelastic contact problem with slip dependent friction
  • Workshop on Optimal Control of Ordinary Differential Equations dedicated to prof. Czeslaw Olech, Warsaw, Poland (August 30 - September 3, 2004)
  • Fourth Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (June 7-11, 2004)
    lecture: Hemivariational inequalities for stationary Navier-Stokes equation
  • Polish Seminar on Theory of Extremal Problems, Lodz, Poland (January 15, 2004)
    lecture: Control problems in hemivariational inequalities for Navier-Stokes equations
2003
  • Fourth WSEAS Conference on Applied Mathematics, Malta (September 1-3, 2003)
    lecture: Optimal control in superpotential for evolution hemivariational inequality
  • Twenty First IFIP TC7 Conference on System Modeling and Optimization, Sophia Antipolis, France (July 21-25, 2003)
    lecture: Optimal control problems for evolution quasi-hemivariational inequality
  • TMR Workshop on Evolution Equations for Deterministic and Stochastic Systems, Roscoff, France (May 19-23, 2003)
    lecture: On singularities of value functions for Boltza optimal control problem
2002
  • Banach Center Summer School on Mathematical Control Theory, Poznan, Bedlewo, Warsaw, Poland (September 2-20, 2002)
  • The International Conference on Nonsmooth/Nonconvex Mechanics with Applications in Engineering, Thessaloniki, Greece (July 5-6, 2002)
    lecture: Existence of solutions to boundary parabolic hemivariational inequalities
  • Third Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (June 10-14, 2002)
    lecture: Parabolic quasi-hemivariational inequalities
2001
  • Third Polish Conference on Methods and Computer Systems in Scientific Researches and Engineering Design, Krakow, Poland (November 19-21, 2001)
    lecture: Optimal control problems for hemivariational inequalities
  • Summer School on Mathematical Control Theory, Trieste, Italy (September 3-28, 2001)
  • Twentieth IFIP TC7 Conference on System Modeling and Optimization, Trier, Germany (July 23-27, 2001)
    lecture: Time optimal control problem for evolution hemivariational inequality
  • Third Polish Symposium on Nonlinear Analysis, Lodz, Poland (January 29-31, 2001)
    lecture: Optimal control for distributed parameter systems described by hemivariational inequality of second order
1999
  • Second Symposium on Nonlinear Analysis, Torun, Poland (September 13-17, 1999)
    lecture: Optimal shape design for elliptic hemivariational inequalities
1998
  • Third School on Nonlinear Functional Analysis and Applications to Differential Equations, Trieste, Italy (October 12-30, 1998)
  • Workshop on Evolution Equations: Existence, Regularity and Singularities, Warsaw, Banach Center, Poland (September 21- October 2, 1998)
  • First Forum on Partial Differential Equations, Poznan, Bedlewo, Poland (June 7-10, 1998)
    lecture: Optimal control and identification of systems described by parabolic hemivariational inequalities
1997
  • Workshop on Differential Inclusions and Optimal Control, Warsaw, Banach Center, Poland (September 22 - October 3, 1997)
1995
  • Symposium on Ergodic Theory and Dynamical Systems, Warsaw, Banach Center, Poland
  • Twelfth Conference on Computer Methods in Mechanics, Warsaw, Zegrze, Poland (May 9-13, 1995)
Projects of the National Science Centre (NCN)
  • 18.04.2013-17.04.2018 (UMO-2012/06/A/ST1/00262)
    "Nonsmooth Systems in Mathematical Theory of Contact Mechanics" (Maestro Advanced Project)
  • 26.05.2011-25.08.2014 (N N201 604640)
    "Hemivariational Inequalities - Asymptotic Behaviour of Solutions and its Applications"
Projects of the Ministry of Science and Higher Education of Poland (MNiSW)
(previously the Polish Scientific Research Commitee (KBN))
  • 01.04.2012-31.03.2016 (W111/7.PR/2012)
    "Nonlinear inclusions, hemivariational inequalities with applications to contact mechanics" (international project co-financed by MNiSW)
  • 1.01.2011-17.03.2011 (2360/GG 7.PRUE/2012/0)
    "Grants for grants - support for Polish coordinators in EU research programs"
  • 10.05.2007-9.08.2010 (N201 027 32/1449)
    "Theory of Hemivariational Inequalities and its Applications"
  • 7.04.2004-6.03.2007 (4 T07A 027 26)
    "Modeling of Multivalued Laws in Dynamic Contact Problems"
  • 15.11.2003-14.11.2006 (2 P03A 003 25)
    "Hemivariational Inequalities: Theory and Applications in Mechanics"
  • 1.08.2000-31.07.2002 (2 P03A 004 19)
    "Optimal Control Problems for Systems Governed by Partial Differential Equations and Hemivariational Inequalities: Existence and Characterization of Optimal Solutions"
  • 1.01.2000-31.07.2002 (7 T07A 047 18)
    "Parameter Identification Problems in Modelling of Nonhomogeneous Media"
  • 1.08.1998-31.07.2000 (2 P03A 040 15)
    "Optimal Shape Design Problems for Systems Governed by Partial Differential Equations and Hemivariational Inequalities"

International Cooperation
  • 2014-2015 (N° 31155YH)
    "Mathematical and Numerical Analysis for Contact Problems with Friction"
    project POLONIUM between the Jagiellonian University and Université de Perpignan Via Domitia
  • April 1, 2012 - March 31, 2016 (CONTACT, Grant Agreement No 295118)
    FP7-PEOPLE-2011-IRSES (International Research Staff Exchange Scheme) (Marie Curie)
    "Nonlinear inclusions, hemivariational inequalities with applications to contact mechanics"
    project among six universities: the Jagiellonian University in Krakow (Poland), University of Perpignan (France), Guangxi University of Nationalities in Nanning (P.R. China), Zhejiang University in Hangzhou (P.R. China), University of Iowa (USA), Oakland University in Rochester, (USA)
  • 2012-2014 (35-7)
    "Nonlinear differential equations for multivalued and nonsmooth systems with applications"
    the Bilateral Scientific and Technological Cooperation Program between Poland and China (project between the Jagiellonian University and Guangxi University for Nationalities, Nanning, Guangxi, P.R. China)
  • 2009-2010 (7817/R09/R10)
    "Nonsmooth Analysis with Applications to Contact Mechanics"
    project POLONIUM between the Jagiellonian University and Université de Perpignan BE Pologne
  • 2009-2010 (33-21)
    "Nonlinear Hemivariational Inequalities - Theory and Applications in Engineering Sciences"
    project between the Jagiellonian University and Central South University, Changsha, Hunan, P.R. China

Scholarship Fund of Rector of Jagiellonian University
  • 1.10.2004-31.07.2005
    "Mathematical Modeling of Selected Problems in Mechanics"

Projects in Mathematics under auspices of Rector of Jagiellonian University
  • 2005 "Viscoelastic Contact Problems in Mechanics" (DBN-414/CRBW/VII-14/2005)
  • 2004 "Optimal Control Problems on Hemivariational Inequalities for Navier-Stokes Equation" (DBN-414/CRBW/V-8/2004)
  • 2003 "Optimal Control Problems for Evolution Quasi-hemivariational Inequalities" (DBN-414/CRBW/K-V-21/2003)
  • 2002 "Optimal Control Problems for Hemivariational Inequalities" (N-25/CRBW-V-24/2002)
  • 2001 "Aproximation of Optimal Control Problems for Hemivariational Inequalities" (N-25/CRBW-V-33/2001)

Projects in Mathematics under auspices of Dean of Faculty of Mathematics and Computer Science of Jagiellonian University
  • 2009 "Nonlinear Analysis in Contact Mechanics"
  • 2008 "Modeling of Contact Problems in Mechanics"
  • 2006 "Mathematical Models of Contact Problems in Mechanics"
  • 2005 "Viscoelastic Contact Problems in Mechanics"

Projects in Mathematics under auspices of Dean of Faculty of Mathematics and Physics of Jagiellonian University
  • 2001 "Control in Superpotential for Systems Described by Hemivariational Inequalities"
  • 2000 "Optimal Control for Hiperbolic Hemivariational Inequalities"
  • 1999 "Numerical Solving of Hemivariational Inequalities"

Metody optymalizacji

Numeryczne rozwiązywanie równa różniczkowych zwyczajnych

Równania różniczkowe cząstkowe - seminarium

Mechanika kontaktowa - seminarium

Dyżur w semestrze letnim: środy 12.00-13.00, pok. 2058