- 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