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Nonlinear Differential Variational-Hemivariational Inequalities with Applications

2021/41/B/ST1/01636

Keywords:

Differential variational-hemivariational inequality hemivariational inequality quasi-variational inequality variational inequality history-dependent operator almost history-dependent operator differential algebraic equation evolution inclusion inverse problem optimal control ordinary differential equation partial differential equation set-valued analysis optimization convergences of sets evolution triple fixed point Gamma-convergence hard constraint index KKM principle minimizing movement normal cone penalty method perturbation pseudomonotone regularization sensitivity star-shaped set subdifferentials weak formulation nonsmooth systems in mechanics equilibrium contact mechanics elasticity viscoelasticity piezoelectricity fluid dynamics Signorini problem adhesion friction impulses static quasistatic dynamic vanishing acceleration method vanishing viscosity technique discrete problem error estimate.

Descriptors:

  • ST1_011:
  • ST1_017:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Stanisław Henryk Migórski 

Number of co-investigators in the project: 4

Call: OPUS 21 - announced on 2021-03-15

Amount awarded: 531 194 PLN

Project start date (Y-m-d): 2022-01-20

Project end date (Y-m-d): 2027-01-19

Project duration:: 60 months (the same as in the proposal)

Project status: Pending project

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (39)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (1)
  1. A class of evolutionary history-dependent variational-hemivariational inequalities with strong and weak solutions
    Authors:
    Migórski, S; Dudek, S
    Academic press:
    SeMA Journal (rok: 2025, tom: 82(2), strony: 179-203), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40324-024-00367-3 - link to the publication
  2. Shape optimization for the Stokes hemivariational inequality with slip boundary condition
    Authors:
    Fang, Ch; Yang, M and Migorski, S
    Academic press:
    Computers & Mathematics with Applications (rok: 2023, tom: 146, strony: 213 - 224), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2023.06.039 - link to the publication
  3. Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem
    Authors:
    Bartman, P; Bartosz, K; Jureczka, M and Szafraniec, P
    Academic press:
    Nonlinear Analysis-Real World Applications (rok: 2023, tom: 73, strony: nr 103870 (20 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2023.103870 - link to the publication
  4. Sensitivity analysis of optimal control problems for differential hemivariational inequalities in steady thermistor problem
    Authors:
    Peng, ZJ; Zhang, GQ; Migórski, S
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2025, tom: 142, strony: nr 108532 (15 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2024.108532 - link to the publication
  5. A nonsmooth optimization approach for time-dependent hemivariational inequalities
    Authors:
    Jureczka, M; Ochal, and Bartman, P
    Academic press:
    Nonlinear Analysis-Real World Applications (rok: 2023, tom: 73, strony: nr 103871 (19 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2023.103871 - link to the publication
  6. Analysis of quasi-variational-hemivariational inequalities with applications to Bingham-type fluids
    Authors:
    Migórski, Stanisław; Chao, Yang; He, Jiahong, and Dudek, Sylwia
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2024, tom: 133, strony: nr 107968 (13 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2024.107968 - link to the publication
  7. A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions
    Authors:
    Zeng, Shengda; Khan, Akhtar A., and Migórski, Stanisław
    Academic press:
    Science China-Mathematics (rok: 2024, tom: 67 (2), strony: 315-338), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11425-022-2069-0 - link to the publication
  8. A new general class of systems of elliptic quasi-variational-hemivariational inequalities
    Authors:
    Migorski, S; Ogorzaly, J and Dudek, S
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2023, tom: 121, strony: nr 107243 (17 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107243 - link to the publication
  9. Singular perturbations of a class of elliptic variational-hemivariational inequalities without monotonicity
    Authors:
    Cen, JX; Migórski, S; Wu, YY; Zeng, SD
    Academic press:
    Communications in Nonlinear Scienceand Numerical Simulation (rok: 2025, tom: 148, strony: nr 108868 (10 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2025.108868 - link to the publication
  10. A Class of Multivalued Quasi-Variational Inequalities with Applications
    Authors:
    Migorski, S; Bai, Y and Dudek, S
    Academic press:
    Applied Mathematics and Optimization (rok: 2023, tom: 87, strony: nr 32 (25 stron)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-022-09941-5 - link to the publication
  11. Constrained evolutionary variational-hemivariational inequalities with application to fluid flow model
    Authors:
    Migorski, S and Dudek, S
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2023, tom: 127, strony: nr 107555 (16 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107555 - link to the publication
  12. A general differential quasi variational-hemivariational inequality: Well-posedness and application
    Authors:
    Migorski, S and Cai, DL
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2023, tom: 125, strony: nr 107379 (18 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107379 - link to the publication
  13. Stability analysis for a contaminant convection-reaction diffusion model of recovered fracturing fluid
    Authors:
    Cen, Jinxia; Migórski, Stanisław; Verto, Calogero and Zeng, Shenda
    Academic press:
    Journal of Nonlinear and Variational Analysis (rok: 2024, tom: 8 (4), strony: 581-600), Wydawca: Biemdas Academic Publishers
    Status:
    Published
    DOI:
    10.23952/jnva.8.2024.4.07 - link to the publication
  14. A convergence criterion for elliptic variational inequalities
    Authors:
    Gariboldi, Claudia; Ochal, Anna; Sofonea, Mircea; Tarzia, Domingo A.
    Academic press:
    Applicable Analysis (rok: 2024, tom: 103 (10), strony: 1810-1830), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00036811.2023.2268636 - link to the publication
  15. Inverse Problems for Evolutionary Hemi-Quasi -Variational Inequalities with Applications
    Authors:
    Van Anh, NT; Khan, AA; Liu, ZH; Migorski, S
    Academic press:
    Set-Valued and Variational Analysis (rok: 2025, tom: 33 (3), strony: nr 26 (37 stron)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11228-025-00763-5 - link to the publication
  16. A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics
    Authors:
    Migorski, S and Cai DL
    Academic press:
    Applied Mathematics and Optimization (rok: 2023, tom: 88, strony: nr 20 (34 stron)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-023-09991-3 - link to the publication
  17. A class of elliptic quasi-variational-hemivariational inequalities with applications
    Authors:
    Migorski, S; Yao, JC and Zeng, SD
    Academic press:
    Journal of Computational and Applied Mathematics (rok: 2022, tom: 421, strony: nr 114871 (15 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2022.114871 - link to the publication
  18. Existence of solutions to a new class of coupled variational-hemivariational inequalities
    Authors:
    Bai, YR; Migorski, S; Nguyen, VT; Peng, JW
    Academic press:
    Journal of Nonlinear and Variational Analysis (rok: 2022, tom: 6 (5), strony: 499-516), Wydawca: Biemdas
    Status:
    Published
    DOI:
    10.23952/jnva.6.2022.5.05 - link to the publication
  19. A Class of Variational-Hemivariational Inequalities for Bingham Type Fluids
    Authors:
    Migorski, S and Dudek, S
    Academic press:
    Applied Mathematics and Optimization (rok: 2022, tom: 85, strony: nr 16 ( 29 stron)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-022-09855-2 - link to the publication
  20. Convergence of a double step scheme for a class of second order Clarke subdifferential inclusions
    Authors:
    Bartosz, Krzysztof and Szafraniec, Paweł
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2024, tom: 78, strony: nr 104092 (14 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2024.104092 - link to the publication
  21. Evolutionary Quasivariational Hemivariational Inequalities: Existence and Parameter Identification
    Authors:
    Peng, Zijia; Yang, Guangkun; Liu, Zhenhai; and Migórski, Stanisław
    Academic press:
    Applied Mathematics & Optimization (rok: 2024, tom: 89 (2), strony: nr 32 (26 stron)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-023-10100-7 - link to the publication
  22. Optimal Control of a New Class of Parabolic Quasi Variational-Hemivariational Inequality
    Authors:
    Jing, Zhao; Yuan, Ze; Liu, Zhenhai; and Migórski, Stanisław
    Academic press:
    Applied Mathematics & Optimization (rok: 2024, tom: 90 (2), strony: nr 48 (30 stron)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-024-10190-x - link to the publication
  23. A generalized penalty method for a new class of differential inequality system
    Authors:
    Yuan, Ze; Peng, Zijia; Liu, Zhenhai; and Migórski, Stanisław
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2024, tom: 129, strony: nr 107704 (19 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107704 - link to the publication
  24. Strong and weak solutions of history-dependent constrained evolutionary variational-hemivariational inequalities and application
    Authors:
    Migórski, S; Bai, YR; Dudek, S
    Academic press:
    Nonlinear Analysis-Real World Applications (rok: 2025, tom: 84, strony: nr 104473 (16 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2024.104273 - link to the publication
  25. Time-dependent elliptic quasi-variational-hemivariational inequalities: well-posedness and application
    Authors:
    Jiang, Tie-jun; Cai, Dong-ling; Xiao, Yi-bin; Migorski, Stanislaw
    Academic press:
    Journal of Global Optimization (rok: 2024, tom: 88 (2), strony: 509-530), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10898-023-01324-6 - link to the publication
  26. Inverse problems for evolutionary quasivariational hemivariational inequalities with application to mixed boundary value problems
    Authors:
    Peng, Zijia; Yang, Guangkun; Liu, Zhenhai; and Migórski, Stanisław
    Academic press:
    Izvestiya: Mathematics (rok: 2024, tom: 88 (5), strony: 988-1011), Wydawca: Steklov Mathematical Institute of RAS
    Status:
    Published
    DOI:
    10.4213/im9551e - link to the publication
  27. Modelling, analysis, and numerical simulation of a spring-rods system with unilateral constraints
    Authors:
    Ochal, Anna; Przadka, Wiktor; Sofonea, Mircea; Tarzia, Domingo A.
    Academic press:
    Mathematics and Mechanics of Solids (rok: 2024, tom: 29 (2), strony: 246-263), Wydawca: Sage
    Status:
    Published
    DOI:
    10.1177/10812865231186345 - link to the publication
  28. A class of elliptic mixed boundary value problems with (p, q)-Laplacian: existence, comparison and optimal control
    Authors:
    Zeng, SD; Migorski, S; Tarzia DA; Zou L; Nguyen, VT
    Academic press:
    Zeitschrift für angewandte Mathematik und Physik (rok: 2022, tom: 73, strony: nr 151 (17 stron)), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00033-022-01789-7 - link to the publication
  29. A survey of numerical methods for hemivariational inequalities with applications to contact mechanics
    Authors:
    Ochal, A.; Jureczka, M. and Bartman P.
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2022, tom: 114, strony: nr 106563 (14 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2022.106563 - link to the publication
  30. Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications
    Authors:
    Migorski S.
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2022, tom: 67, strony: nr 103593 (22 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2022.103593 - link to the publication
  31. Second order hemivariational inequality driven by evolution differential inclusion to a dynamic thermoviscoelastic contact problem
    Authors:
    Jiao, Jinkai; Liu, Zhenhai; and Migórski, Stanisław
    Academic press:
    Journal of Computational and Applied Mathematics (rok: 2024, tom: 451, strony: nr 116060 (20 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2024.116060 - link to the publication
  32. A class of time-dependent quasi-variational-hemivariational inequalities with application
    Authors:
    Liu, YJ; Migórski, S; Dudek, S
    Academic press:
    Nonlinear Analysis-Real World Applications (rok: 2025, tom: 86, strony: nr 104385 (14 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2025.104385 - link to the publication
  33. A new class of history-dependent quasi variational-hemivariational inequalities with constraints
    Authors:
    Migorski, S; Bai, YR and Zeng, SD
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2022, tom: 114, strony: nr 106686 (15 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2022.106686 - link to the publication
  34. A generalized Stokes system with a non-smooth slip boundary condition
    Authors:
    Zhao, J; Migorski, S and Dudek, S
    Academic press:
    Phil. Trans. R. Soc. A (rok: 2022, tom: 380, strony: nr 20210353 (17 stron)), Wydawca: The Royal Society
    Status:
    Published
    DOI:
    10.1098/rsta.2021.0353 - link to the publication
  35. A new penalty method for elliptic variational inequalities
    Authors:
    Bartman-Szwarc, P; Ochal, A; Sofonea, M; Tarzia, DA
    Academic press:
    Discrete and Continuous Dynamical Systems-Series B (rok: 2025, tom: 30 (11), strony: 4206-4225), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcdsb.2025021 - link to the publication
  36. Optimal control of differential quasivariationalhemivariational inequalities with applications
    Authors:
    Cai, Dong-ling; Migórski, Stanisław, and Xiao, Yi-bin
    Academic press:
    Science China-Mathematics (rok: 2024, tom: 67 (11), strony: 2587-2606), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11425-022-2180-7 - link to the publication
  37. New existence results for evolutionary quasi-hemivariational inequalities and their optimal control
    Authors:
    Khan, Akhtar A.; Migórski, Stanisław and Zeng, Shengda
    Academic press:
    Optimization (rok: 2024, tom: 73 (11), strony: 3369-3391), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331934.2024.2326589 - link to the publication
  38. Duality arguments in the analysis of a viscoelastic contact problem
    Authors:
    Bartman, Piotr; Ochal, Anna; Sofonea, Mircea
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2024, tom: 128, strony: nr 107581 (14 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107581 - link to the publication
  39. Inverse problems for constrained parabolic variational-hemivariational inequalities
    Authors:
    Migorski, S; Cai, DL and Xiao, YB
    Academic press:
    Inverse Problems (rok: 2023, tom: 39, strony: nr 85012 (36 stron)), Wydawca: IOP Publishing Ltd
    Status:
    Published
    DOI:
    10.1088/1361-6420/acdf7b - link to the publication
  1. Hybrid subgradient and simulated annealing method for hemivatiational inequalities
    Authors:
    Bartman-Szwarc, P; Bagirov, A.M; Ochal, A
    Conference:
    Lecture Notes in Computer Science (rok: 2025, tom: International Conference on Computational Science (ICCS 2025 Workshop), strony: 392-405), Wydawca: Springer
    Data:
    konferencja 7-9.07.2025
    Status:
    Published
    DOI:
    10.1007/978-3-031-97557-8_28 - link to the publication
  1. Quasivariational-hemiwariational inequalities for a thermally coupled Navier-Stokes model of Bingham type fluid
    Authors:
    Migórski, S; Dudek, S
    Book:
    Methods of Mathematical Modeling Advances and Applications (rok: 2025, tom: Advanced Studies in Complex Systems, strony: 13516), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/B978-0-44-313317-6.00007-X - link to the publication

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