Nonlinear Inclusions, Hemivariational Inequalities

with Applications to Contact Mechanics

Forthcoming Publications

Author(s) Title and journal
Next papers are coming soon
Y. Li, S. Migorski, JF. Han A quasistatic frictional contact problem with damage involving viscoelastic materials with short memory, Mathematics and Mechanics of Solids, 2015, in press, doi: 10.1177/1081286514558657.
M. Barboteu, X. Cheng, M. Sofonea Analysis of a contact problem with unilateral constraint and slip-dependent friction, Mathematics and Mechanics of Solids, 2014, in press, doi:10.1177/1081286514537289.

Books

Author(s) Title and series
S. Migorski, A. Ochal, M. Sofonea Nonlinear Inclusions and Hemivariational Inequalities. Models and Analysis of Contact Problems, Advances in Mechanics and Mathematics, vol. 26, Springer, New York, 2013, pages: 285, ISBN 978-1-4614-4231-8.
G. Łukaszewicz, P. Kalita Navier-Stokes Equations, An Introduction with Applications, Advances in Mechanics and Mathematics, vol. 34, Springer, New York, 2016.

Edited volumes and special issues

Author(s) Title and series
S. Migorski, M. Shillor, and M. Sofonea (Editors) "Contact Mechanics", a special issue of Nonlinear Analysis: Real World Applications, vol. 22, 2015.
W. Han, S. Migorski, M. Sofonea (Editors) "Advances in Variational and Hemivariational Inequalities with Applications", Advances in Mechanics and Mathematics Series, vol. 33, Springer, New York, 2015, 383 pp., ISBN: 978-3-319-14489-4.
T. Adamowicz, A. Kalamajska, S. Migorski, A. Ochal (Editors) "Calculus of Variations and PDEs", Banach Center Publications 101, 2014, 238 pp., ISBN: 978-83-86806-23-2.

Papers in journals

Author(s) Title and journal
P. Szafraniec Dynamic nonsmooth frictional contact problems with damage in thermoviscoelasticity, Mathematics and Mechanics of Solids, 21 (2016), 525-538.
JF.Han, S. Migorski, H. Zeng Analysis of a dynamic viscoelastic unilateral contact problem with normal damped response, Nonlinear Analysis: Real World Applications, 28 (2016), 229-250.
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.
M. Barboteu, W. Han, M. Sofonea Numerical solution of a contact problem with unilateral constraint and history-dependent penetration, Journal of Engineering Mathematics, 97 (2016), 177-194.
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.
L. Gasinski, N.S. Papageorgiou Positive Solutions for the Generalized Nonlinear Logistic Equation, Canadian Mathematical Bulletin, 59 (2016), 73-86.
M. Sofonea, D. Danan, C. Zheng, Primal and dual variational formulation of a frictional contact problem, Mediterranean Journal of Mathematics, 13 (2016), 857-872. to appear.
M. Sofonea W. Han, S. Migorski Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems, European Journal of Applied Mathematics, 26 (2015), 1-26.
K.Bartosz, Z. Denkowski, P. Kalita Sensitivity of optimal solutions to control problems for second order evolution subdifferential inclusions, Applied Mathematics and Optimization, 71 (2015), 379-410.
S. Dudek, P. Kalita, s. Migorski Stationary flow of non-Newtonian fluid with nonmonotone frictional boundary conditions, Zeitschrift fur Angewandte Mathematik und Physik, 66 (2015), 2625-2646.
L. Gasinski, N.S. Papageorgiou, D. O'Regan A variational approach to nonlinear logistic equations, Communications in Contemporary Mathematics, 17 (2015), Article ID: 1450021.
L. Gasinski, N.S. Papageorgiou Parametric p-Laplacian equations with superlinear reactions, Dynamic Systems and Applications, 24 (2015), 523-558.
L. Gasinski, N.S. Papageorgiou Extremal, Nodal and Stable Solutions for Nonlinear Elliptic Equations, Advanced Nonlinear Studies, 15 (2015), 1536-1365.
L. Gasinski, N.S. Papageorgiou Nodal and multiple solutions for nonlinear elliptic equations involving a reaction with zeros, Dynamics of Partial Differential Equations, 12 (2015), 13-42.
L. Gasinski, N.S. Papageorgiou Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction, Journal of Dynamical and Control Systems, 21 (2015), 423-441.
L. Gasinski, D. O'Regan, N.S. Papageorgiou Positive Solutions for Nonlinear Nonhomogeneous Robin Problems, Zeitschrift fur Analysis und ihre Anwendung, 34 (2015), 435-458.
L. Gasinski, N.S. Papageorgiou Resonant equations with the Neumann p-Laplacian plus an indefinite potential Journal of Mathematical Analysis and Applications, 422 (2015), 1146-1179.
Z.H. Liu, B. Zeng Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential type, Applied Mathematics and Computation, 257 (2015), 178-189.
Z.H. Liu, X. Li Approximate controllability for a class of hemivariational inequalities, Nonlinear Analysis: Real World Applications, 22 (2015), 581-591.
Z.H. Liu, X. Li, D. Motreanu Approximate Controllability for Nonlinear Evolution Hemivariational Inequalities in Hilbert Spaces, SIAM Journal on Control and Optimization, 53 (2015), 3228-3244.
Z.H. Liu, X. Li Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives, SIAM Journal on Control and Optimization, 53 (2015), 1920-1933.
Z.H. Liu, L. Lu Existence and controllability results for stochastic fractional evolution hemivariational inequalities, Applied Mathematics and Computation, 268 (2015), 1164-1176.
Y.Huang, Z.H. Liu, S. Migorski Elliptic hemivariational inequalities with nonhomogeneous Neumann boundary conditions and their applications to static frictional contact problems, Acta Applicandae Mathematicae, 138 (2015), 153-170.
L. Gasinski, A. Ochal, M. Shillor Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage, Zeitschrift für Analysis und ihre Anwendungen, 34 (2015), 251-275.
L. Gasinski, S. Migorski, A. Ochal Existence results for evolutionary inclusions and variational-hemivariational inequalities, Applicable Analysis, 94 (2015), 1670-1694.
JF.Han, Y. Li, S. Migorski Analysis of an adhesive contact problem for viscoelastic materials with long memory, Journal of Mathematical Analysis and Applications, 427 (2015), 646–668.
P. Kalita, M. Coti Zelati Minimality Properties of Set-Valued Processes and their Pullback Attractors, SIAM Journal on Mathematical Analysis, 47 (2015), 1530-1561.
L. Gasiński, A. Ochal Dynamic thermoviscoelastic problem with friction and damage, Nonlinear Analysis: Real World Applications, 21 (2015), 63-75.
S. Migorski, A. Ochal, M. Sofonea History-dependent variational-hemivariational inequalities in contact mechanics, Nonlinear Analysis Series B: Real World Applications, 22 (2015), 604-618.
L. Gasinski, A. Ochal Dynamic viscoelastic problem with temperature, friction and damage, Nonlinear Analysis Series B: Real World Applications, 21 (2015), 63-75.
M. Barboteu, K. Bartosz, W. Han, T. Janiczko Numerical analysis of a hyperbolic hemivariational inequality arising in dynamic contact, SIAM Journal of Numerical Analysis, 53 (2015), 527–550.
J. Czepiel, P. Kalita Numerical solution of a variational-hemivariational inequality modeling simplified adhesion of an elastic body, IMA Journal of Numerical Analysis, 35 (2015), 372-393.
L. Gasinski, ZH. Liu, S. Migorski, A. Ochal. Z. Peng Hemivariational inequality approach to evolutionary constrained problems on star-shaped sets, J. Optimization Theory and Appl., 164 (2015), 514-533.
M. Barboteu, K. Bartosz, P. Kalita A dynamic viscoelastic contact problem with normal compliance, finite penetration and nonmonotone slip rate dependent friction, Nonlinear Analysis Series B: Real World Applications, 22 (2015), 452–472.
K. Bartosz, X. Cheng, P. Kalita, Y. Yu, C. Zheng Rothe method for parabolic variational–hemivariational inequalities, Journal of Mathematical Analysis and Applications, 423 (2015), 841-862.
S. Migorski, A. Ochal, M. Sofonea Analysis of a piezoelectric contact problem with subdifferential boundary condition, The Royal Society of Edinburgh Proceedings A (Mathematics), 144 (2014), 1007-1025.
W. Han, S. Migorski, M. Sofonea A class of variational-hemivariational inequalities with applications to elastic contact problems, SIAM Journal of Mathematical Analysis, 46 (2014), 3891-3912.
B. Barabasz, E. Gajda-Zagorska, S. Migorski, M. Paszynski, R. Schaefer, M. Smolka A hybrid algorithm for solving inverse problems in elasticity, International Journal of Applied Mathematics and Computer Science, 24 (2014), 865-886.
L. Gasinski, N.S. Papageorgiou On generalized logistic equations with a nonhomogeneous differential operator, Dynamical Systems: An International Journal, 29 (2014), 190-207.
L. Gasinski, N.S. Papageorgiou Positive solutions for parametric equidiffusive p-laplacian equations, Acta Mathematica Scientia, 34B (2014), 610-618.
L. Gasinski, N.S. Papageorgiou Mulitplicity of solutions for Neumann problems resonant at any eigenvalue, Kyoto Journal of Mathematics, 54 (2014), 259-269.
L. Gasinski, N.S. Papageorgiou Multiple solutions for a class of nonlinear Neumann eigenvalue problems, Communications on Pure and Applied Analysis, 13 (2014), 203-215.
X. Cheng, S. Migorski, A. Ochal, M. Sofonea Analysis of Two Quasistatic History-dependent Contact Models, Discrete and Continuous Dynamical Systems, Series B, 19 (2014), 2425-2445.
K. Kazmi, M. Barboteu, W. Han, M. Sofonea Numerical Analysis of History-dependent Quasivariational Inequalities with Applications in Contact Mechanics, ESAIM: Mathematical Modelling and Numerical Analysis, (M2AN), 48 (3) (2014), 919-942.
ZH Liu, S. Migorski Analysis and control of differential inclusions with anti-periodic conditions, Proceedings of the Royal Society of Edinburgh, 144A (2014), 591–602.
M. Barboteu, K. Bartosz, P. Kalita, A. Ramadan Analysis of a contact problem with normal compliance, finite penetration and nonmonotone slip dependent friction, Communications in Contemporary Mathematics, 16/01 (2014), 1350016, doi:10.1142/S0219199713500168.
P. Kalita, G. Łukaszewicz Attractors for Navier-Stokes flows with multivalued and nonmonotone subdifferential boundary conditions, Nonlinear Analysis: Real World Applications, 19 (2014), 75-88.
P. Kalita, G. Łukaszewicz Global attractors for multivalued semiflows with weak continuity properties, Nonlinear Analysis Series A, Theory, Methods & Applications, 101 (2014), 124-143.
M. Sofonea, M. Shillor A viscoplastic Contact Problem with a Normal Compliance with Limited Penetration Condition and History-dependent Stiffness Coefficient, Communications in Pure and Applied Analysis, 13 (2014), 371-387.
S. Migorski, P. Szafraniec A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity, Nonlinear Analysis: Real World Applications, 15 (2014), 158–171.
J.R. Fernández, P. Kalita, S. Migórski, M.C. Muñiz, C. Núñez Variational analysis of the Langmuir–Hinshelwood dynamic mixed-kinetic adsorption model, Nonlinear Analysis: Real World Applications, 15 (2014), 205–220.
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.
L. Gasinski, N.S. Papageorgiou A pair of positive solutions for (p,q)-equations with combined nonlinearities, Communications on Pure and Applied Analysis, 13 (2014), 203-215.
L. Gasinski, N.S. Papageorgiou Dirichlet (p,q)-equations at resonance, Discrete and Continuous Dynamical Systems, 34 (2014), 2037-2060,
L. Gasinski, N.S. Papageorgiou Multiple solutions for a class of nonlinear Neumann eigenvalue problems, Communications on Pure and Applied Analysis, 13/4 (2014), 1491-1512.
K. Kazmi, M. Barboteu, W. Han, M. Sofonea Analysis of a dynamic electro-elastic problem, Zeitschrift fuer Angewandte Matematik und Mechanik (ZAMM), 93 (2013), 612–632.
S. Migorski A note on optimal control problem for a hemivariational inequality modeling fluid flow, Discrete and Continuous Dynamical Systems, Supplement 2013, 533-542.
M. Sofonea, W. Han, M. Barboteu Analysis of a viscoelastic Contact Problem with Multivalued Normal Compliance and Unilateral Constraint, Computer Methods in Applied Mechanics and Engineering, 264 (2013), 12-22.
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.
F. Patrulescu, A. Farcas, A. Ramadan A penalized viscoplastic contact problem with unilateral constraints, Annals of the University of Bucharest. Mathematical Series, 4 (LXII) (2013), 213-227.
M. Barboteu, K. Bartosz, P. Kalita An analytical and numerical approach to a bilateral contact problem with nonmonotone friction, International Journal of Applied Mathematics and Computer Science, 23 (2013), 263-276.
S. Migorski, A. Ochal, M. Sofonea Weak Solvability of Two Quasistatic Viscoelastic Contact Problems, Mathematics and Mechanics of Solids, 18 (2013), 745-759.
L. Gasinski, N.S. Papageorgiou Nonlinear Neumann Problems with Constraints, Funkcialaj Ekvacioj, 56 (2013), 249-270.
L. Gasinski, N.S. Papageorgiou Nonlinear periodic equations driven by a nonhomogeneous differential operator, Journal of Nonlinear and Convex Analysis, 14(2013), 583-600.
L. Gasinski, N.S. Papageorgiou Multiple solutions for nonlinear Dirichlet problems with concave terms, Mathematica Scandinavica, 113 (2013), 206-247.
A. Kulig Hyperbolic Hemivariational Inequalities for Dynamic Viscoelastic Contact Problems, Journal of Elasticity, 110 (2013), 1-31.
P. Kalita Convergence of Rothe scheme for hemivariational inequalities of parabolic type, International journal of Numerical Analysis and Modelling, 10 (2013), 445-465.
S. Migorski Subdifferential inclusions and quasi-static hemivariational inequalities for frictional viscoelastic contact problems, Central European Journal of Mathematics, 10 (2012), 1953-1968.
S. Migorski Existence of solutions for a class of history-dependent evolution hemivariational inequalities, Dynamic Systems and Applications, 21 (2012), 319-330.
S. Migorski Identification of operators in systems governed by second order evolution inclusions with applications to hemivariational inequalities, International Journal of Innovative Computing, Information and Control, 8 (2012), 3845-3862.
A. Kulig, S. Migorski Solvability and continuous dependence results for second order nonlinear evolution inclusions with a Volterra-type operator, Nonlinear Analysis, Theory, Methods and Applications, 75 (2012), 4729 - 4746.

Book Chapters

Author(s) Title and book
S. Migorski, A. Ochal, M. Sofonea A class of history-dependent inclusions with applications to contact problems, Chapter 3 in a book "Optimization and Control Techniques and Applications", Springer Proceedings in Mathematics & Statistics, volume 86, Honglei Xu, Kok Lay Teo, Yi Zhang (Eds), Springer, 2014, 45-74, ISBN 978-3-662-43404-8.
J.F. Han, S. Migorski Sensitivity of the solution set to second order evolution inclusions, chapter in a book "System Modeling and Optimization", Series: IFIP Advances in Information and Communication Technology 443, Ch. Potzsche et al. (eds.), Springer, 2014, 138-147.
L. Gasinski, N.S. Papageorgiou Bifurcation phenomena for parametric nonlinear elliptic hemivariational inequalities, in Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics 33, W. Han et al. (eds.), Springer, New York, 2015, 3-37.
S. Migorski, A. Ochal, M. Sofonea Existence and uniqueness results for evolutionary inclusions with applications to hemivariational inequalities, Chapter 2 in Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics 33, W. Han et al. (eds.), Springer, New York, 2015, 39–64.
K. Bartosz Numerical methods for evolution hemivariational inequalities, in Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics 33, W. Han et al. (eds.), Springer, New York, 2015, 111-144.
F. Wang, W. Han, J. Huang, T. Zhang Discontinuous Galerkin methods for an elliptic variational inequality of fourth-order, in Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics 33, W. Han et al. (eds.), Springer, New York, 2015, 199-222.
M. Barboteu, D. Danan, M. Sofonea A hyperelastic dynamic frictional contact model with energy-consistent properties, Chapter 10 in Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics 33, W. Han et al. (eds.), Springer, New York, 2015, 249–275.
P. Kalita, G. Lukaszewicz On large time asymptotics for two classes of contact problems, in Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics 33, W. Han et al. (eds.), Springer, New York, 2015, 299-332.
S. Migorski, A. Ochal, M. Sofonea Two history-dependent contact problems, Chapter 14 in Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics 33, W. Han et al. (eds.), Springer, New York, 2015, 355–380.
A. Ramadan, M. Barboteu, K. Bartosz, P. Kalita A contact problem with normal compliance, finite penetration and nonmonotone slip dependent friction, Advances in Global Optimization, 95, Springer Proceedings in Mathematics and Statistics, D. Gao, R. Ning, X. Wenxun (eds.), doi: 10.1007/978-3-319-08377-329, Springer, 2015, 295–303.
P. Kalita, G. Lukaszewicz Attractors for Multivalued Processes with Weak Continuity Properties, in Continuous and Distributed Systems II, Studies in Systems, Decision and Control, vol. 30, V.A. Sadovnichiy, M.Z. Zgurovsky (eds.), Springer, 2015, 149-166.