Nonlinear Differential Variational-Hemivariational Inequalities with Applications

Publications:

Ochal, A.; Przadka, W; Sofonea, M. and Tarzia, D., Modelling, analysis, and numerical simulation of a spring-rods system with unilateral constraints, Mathematics and Mechanics of Solids 29 (2024), 246-263
Bartman, P., Ochal, A. and Sofonea, M., Duality arguments in the analysis of a viscoelastic contact problem, Communications in Nonlinear Science and Numerical Simulation, vol. 128 (2024), 107581 (14 pages)
Migorski, S., Yao, JC. and Zeng, SD., A class of elliptic quasi-variational-hemivariational inequalities with applications, Journal of Computational and Applied Mathematics 421 (2023), 114871 (15 pages)
Jureczka, M.; Ochal, A. and Bartman, P., A nonsmooth optimization approach for time-dependent hemivariational inequalities, Nonlinear Analysis-Real World Applications 73 (2023), 103871
Gariboldi, C.; Ochal, A.; Sofonea, M. and Tarzia, D., A convergence criterion for elliptic variational inequalities, Applicable Analysis (2023)
Migorski, S. and Dudek, S., Constrained evolutionary variational-hemivariational inequalities with application to fluid flow model, Communications in Nonlinear Science and Numerical Simulation 127 (2023), 107555
Bartman, P.; Bartosz, K.; Jureczka, M. and Szafraniec, P., Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem, Nonlinear Analysis-Real World Applications 73 (2023), 103870
Cen, J.; Nguyen, Van T.; Vetro, C. and Zeng, S., Weak solutions to the generalized Navier-Stokes equations with mixed boundary conditions and implicit obstacle constraints, Nonlinear Analysis-Real World Applications 73 (2023), 103904
Yuan, Z.; Peng, Z.; Liu, Z. and Migorski, S., A generalized penalty method for a new class of differential inequality system, Communications in Nonlinear Science and Numerical Simulation 129 (2023), 107704
Zeng, S.; Bai, Y. and Nguyen, Van T., Optimal control problems for generalized evolutionary Oseen model, Journal of Nonlinear and Convex Analysis 24 (2023), 33-40
Zeng, S; Bai, Y; Radulescu, Vicentiu D. and Winkert, P., An inverse problem for a double phase implicit obstacle problem with multivalued terms, ESAIM-Control Optimization and Calculus of Variations 29 (2023), 30
Zeng, SD. Migorski, S. and Weimin, H., A new class of fractional differential hemivariational inequalities with application to an incompressible Navier–Stokes system coupled with a fractional diffusion equation, Izvestiya: Mathematics 87 (2) (2023), 326–361
Migorski, S., Bai, YR. and Dudek, S., A class of multivalued quasi-variational inequalities with applications, Applied Mathematics and Optimization 87 (2023), 32 (25 pages)
Migorski, S., Cai, DL. and Dudek, S., Differential variational–hemivariational inequalities with application to contact mechanics, Nonlinear Analysis: Real World Applications 71 (2023), 103816 (25 pages)
Zeng, S., Khan, A.A. and Migórski, S., A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions, Science China Mathematics 66 (2023), (24 pages)
Migórski, S. and Cai, DL., A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics, Applied Mathematics & Optimization volume 88 (2023), 20 (34 pages)
Migorski, S., Ogorzały, J. and Dudek, S., A new general class of systems of elliptic quasi-variational–hemivariational inequalities, Communications in Nonlinear Science and Numerical Simulation 121 (2023), 107243 (26 pages)
Migorski, S., Cai, DL. and Xiao, YB., Inverse problems for constrained parabolic variational-hemivariational inequalities, Inverse Problems 39 (2023), 085012
Migorski, S. and Cai, DL., A general differential quasi variational–hemivariational inequality: Well-posedness and application, Communications in Nonlinear Science and Numerical Simulation 125 (2023), 107379 (18 pages)
Fang, C., Yang, M. and Migorski, S., Shape optimization for the Stokes hemivariational inequality with slip boundary condition, Computers & Mathematics with Applications 146 (2023), 213-224
Bai, Y.; Papageorgiou, N.S. and Zeng, S., A parametric singular (p,q)-equation with convection, Complex Variables and Elliptic Equations, 68:11 (2023), 1940-1952
Jiang, TJ., Cai, DL., Xiao, YB and Migorski, S., Time-dependent elliptic quasi-variational-hemivariational inequalities: well-posedness and application, Journal of Global Optimization (2023), (21 pages)
Ochal, A.; Jureczka, M. and Bartman, P., A survey of numerical methods for hemivariational inequalities with applications to contact mechanics, Communications in Nonlinear Science and Numerical Simulation 114 (2022), 106563 (14 pages)
Bai, Y.; Papageorgiou, N.S. and Zeng, S., Anisotropic (p, q)-equations with superlinear reaction, Ricerche di Matematica (2022)
Migorski, S. and Dudek, S., A class of variational-hemivariational inequalities for Bingham type fluids, Applied Mathematics and Optimization 85 (2022), 16 (29 pages)
Zhao, J., Migorski, S. and Dudek, S., A generalized Stokes system with a non-smooth slip boundary condition, Philosophical Transactions of the Royal Society A 380 (2022), 20210353 (17 pages)
Migorski S., Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications, Nonlinear Analysis: Real World Applications 67 (2022), 103593 (22 pages)
Bai, YR., Migorski, S., Nguyen, VT. and Peng, JW., Existence of solutions to a new class of coupled variational-hemivariational inequalities, Journal of Nonlinear and Variational Analysis 6 (5) (2022), 499-516
Zeng, SD., Migorski, S., Tarzia DA., Zouł and Nguyen, VT., A class of elliptic mixed boundary value problems with (p, q)-Laplacian: existence, comparison, and optimal control, Zeitschrift für angewandte Mathematik und Physik 73 (2022), 151 (17 pages)
Migorski, S., Bai, YR. and Zeng, SD., A new class of history-dependent quasi variational-hemivariational inequalities with constraints, Communications in Nonlinear Science and Numerical Simulation 114 (2022), 106686 (15 pages)
Zeng, SD., Migorski, S. and Nguyen, V., A class of hyperbolic variational-hemivariational inequalities without damping terms, Advances in Nonlinear Analysis 11 (1) (2022), 1287-1306