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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

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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 (17)
  1. 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 (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107379 - link to the publication
  2. A nonsmooth optimization approach for time-dependent hemivariational inequalities
    Authors:
    Jureczka, M; Ochal, and Bartman, P
    Academic press:
    Nonlinear Analysis-Real World Applications (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2023.103871 - link to the publication
  3. 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 (tom: 6 (5), strony: 499-516), Wydawca: Biemdas
    Status:
    Published
    DOI:
    10.23952/jnva.6.2022.5.05 - link to the publication
  4. A Class of Multivalued Quasi-Variational Inequalities with Applications
    Authors:
    Migorski, S; Bai, Y and Dudek, S
    Academic press:
    Applied Mathematics and Optimization (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-022-09941-5 - link to the publication
  5. 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 (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2022.106563 - link to the publication
  6. 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 (), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00033-022-01789-7 - link to the publication
  7. 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 (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2023.06.039 - link to the publication
  8. 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 (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107555 - link to the publication
  9. Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications
    Authors:
    Migorski S.
    Academic press:
    Nonlinear Analysis: Real World Applications (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2022.103593 - link to the publication
  10. 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 (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2022.114871 - link to the publication
  11. A Class of Variational-Hemivariational Inequalities for Bingham Type Fluids
    Authors:
    Migorski, S and Dudek, S
    Academic press:
    Applied Mathematics and Optimization (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-022-09855-2 - link to the publication
  12. 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 (), Wydawca: The Royal Society
    Status:
    Published
    DOI:
    10.1098/rsta.2021.0353 - link to the publication
  13. Inverse problems for constrained parabolic variational-hemivariational inequalities
    Authors:
    Migorski, S; Cai, DL and Xiao, YB
    Academic press:
    Inverse Problems (), Wydawca: IOP Publishing Ltd
    Status:
    Published
    DOI:
    10.1088/1361-6420/acdf7b - link to the publication
  14. A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics
    Authors:
    Migorski, S and Cai DL
    Academic press:
    Applied Mathematics and Optimization (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-023-09991-3 - link to the publication
  15. 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 (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2023.103870 - link to the publication
  16. 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 (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107243 - link to the publication
  17. 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 (), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2022.106686 - link to the publication

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