Project full title: Nonsmooth Contact Dynamics
Project acronym: CONMECH
Grant Agreement Number: 823731
Duration: 1 January 2019 - 31 December 2022
Funding: H2020-MSCA-RISE-2018: Research and Innovation Staff Exchange
Consortium Coordinator: Jagiellonian University in Krakow

Beneficiaries: Jagiellonian University in Krakow, Poland, Université de Perpignan in Perpgnan, France, Universitatea din Craiova, Romania, and Universidade da Coruna, Spain
Partners: Guangxi University of Nationalities, Nanning, P.R. China, Zhejiang University, Hangzhou, P.R. China, The University of Iowa, Iowa City, IA, US, Oakland University, Rochester, MI, US, Asociacion Civil De Estudios Superiores, Argentina, and Federation University, Australia

2019 Publications

S. Migorski, A.A. Khan, S. Zeng, Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems of p-Laplacian type, Inverse Problems, 2019, in press.
S. Migorski, P. Szafraniec, Nonmonotone slip problem for miscible liquids, Journal of Mathematical Analysis and Applications 471 (2019), 342-357.
S. Migorski, S. Zeng, Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics, Numerical Algorithms, 2019, in press.
W. Han, S. Migorski, M. Sofonea, On a penalty based numerical method for unilateral contact problems with non-monotone boundary condition, Journal of Computational and Applied Mathematics 356 (2019), 293-301.
Y. Bai, S. Migorski, S. Zeng, Well-posedness of a class of generalized mixed hemivariational-variational inequalities, Nonlinear Analysis: Real World Applications 48 (2019), 424-444.
X. Li, Z. Liu. M. Sofonea, Unique solvability and exponential stability of differential hemivariational inequalities, Applicable Analysis, 2019, doi:10.1080/00036811. 2019.1569226, in press.
S. Adly. M. Sofonea, Time-dependent inclusions and sweeping processes in contact mechanics, Zeitschrift fuer angewandte Mathematik und Physik 70:39 (2019), in press.
S. Migorski, P. Gamorski, Variational-hemivariational inequality for a class of dynamic nonsmooth frictional contact problems, Applied Mathematics and Computation 346 (2019), 465-479.
Y. Liu, Z. Liu, Ching-Feng Wen, Existence of solutions for space-fractional parabolic hemivariational inequalities, Discrete & Continuous Dynamical Systems-B 24 (2019), 1297-1307.
Z. Liu, D. Motreanu, S. Zeng, Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient, Calculus of Variations and Partial Differential Equations 58 (2019), in press.
M. Sofonea, Y.B. Xiao, M. Couderc, Optimization problems for elastic contact models with unilateral constraints, Zeitschrift fuer angewandte Mathematik und Physik 70 (2019), Art. 1, 17 pp., https://doi.org/10.1007/ s000033-018-1046-2, in press.
L. Lu, Z. Liu, V. Obukhovskii, Second order differential variational inequalities involving anti-periodic boundary value conditions, Journal of Mathematical Analysis and Applications, 2019, in press.
M. Jureczka, A. Ochal, Numerical analysis and simulations of contact problem with wear, Computers and Mathematics with Applications, 77 (2019), 2980-2988.
W. Han, S. Zeng, On convergence of numerical methods for variational-hemivariational inequalities under minimal solution regularity, Applied Mathematics Letters 93 (2019), 105-110.
B. Zeng, Z. Liu, Existence results for impulsive feedback control systems, Nonlinear Analysis: Hybrid Systems 33 (2019), 1–16.
Y. Xiao, M. Sofonea, On the optimal control of variational–hemivariational inequalities, Journal of Mathematical Analysis and Applications 475 (2019), 364-384.
X. Li, Y.X. Li, Z. Liu, J. Li, Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions, Fractional Calculus and Applied Analysis 21, no 6 (2018), 1439-1470.
S. Migorski, S. Zeng, Mixed variational inequalities driven by fractional evolutionary equations, Acta Mathematica Scientia 39B (2019), 461-468.
M. Sofonea, Y.B. Xiao, Boundary optimal control of a nonsmooth frictionless contact problem, Computers and Mathematics with Applications, 2019, in press.
A. Khan, S. Migorski, M. Sama, Inverse problems for multi-valued quasi variational inequalities and noncoercvie variational inequalities with noisy data, Optimization, 2019, in press.
X. Cheng, Q. Xiao, S. Migorski, A. Ochal, Error estimate for quasistatic history-dependent contact model, Computers and Mathematics with Applications, 77 (2019), 2943-2952.
S. Migorski, M. Sofonea, S. Zeng, Well-posedness of history-dependent sweeping processes, SIAM Journal of Mathematical Analysis, 51 (2019), 1082--1107.
W. Han, M. Sofonea, Numerical analysis of hemivariational inequalities in contact mechanics, Acta Numerica, 2019, in press, 113 pages.
Y. Xiao, M. Sofonea, Generalized penalty method for elliptic variational-hemivariational inequalities, Applied Mathematics and Optimization, 2019, in press.
M. Barboteu, W. Han, S. Migorski, On numerical approximation of a variational–hemivariational inequality modeling contact problems for locking materials, Computers and Mathematics with Applications, 77 (2019), 2894-2905.
W. Han, M. Sofonea, Convergence analysis of penalty based numerical methods for constrained inequality problems, Numerische Mathematik, 2019, in press.
S. Migorski, Van Thien Nguyen, S. Zeng, Nonlocal elliptic variational-hemivariational inequalities, Journal of Integral Equations and Applications, 2019, in press.
Y. Huang, Z.H. Liu, C.F. Wen, Approximate controllability for fractional semilinear parabolic equations, Computers and Mathematics with Applications, 77 (2019), 2971-2979.
M. Sofonea, Y.B. Xiao, M. Couderc, Optimization problems for a viscoelastic frictional contact problem with unilateral constraints, Nonlinear Analysis: Real World Applications, 50 (2019) 86-103
XW. Li, ZH. Liu, J. Li, C. Tisdell, Existence and controllability for nonlinear fractional control systems with damping in Hilbert spaces, Acta Mathematica Scientia, 39 (2019), 229-242.