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Information on the principal investigator and host institution

Information of the project and the call

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Mathematical Analysis of Complex Contact Models in Solid and Fluid Mechanics

2017/25/N/ST1/00611

Keywords:

Variational inequality hemivariational inequality penalty regularization history-dependent contact problem error estimate Rothe method

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_16: Numerical analysis
  • ST1_18: Control theory and optimisation

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):

dr Shengda Zeng 

Number of co-investigators in the project: 2

Call: PRELUDIUM 13 - announced on 2017-03-15

Amount awarded: 90 000 PLN

Project start date (Y-m-d): 2018-02-15

Project end date (Y-m-d): 2021-02-14

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

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 (40)
  1. A class of differential hemivariational inequalities in Banach spaces
    Authors:
    Stanisław Migórski, Shengda Zeng
    Academic press:
    J Glob Optim (rok: 2018, tom: 72, strony: 761-779), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10898-018-0667-5 - link to the publication
  2. A new class of hyperbolic variational–hemivariational inequalities driven by non-linear evolution equations
    Authors:
    STANISŁAW MIGÓRSKI, WEIMIN HAN, SHENGDA ZENG
    Academic press:
    European Journal of Applied Mathematics (rok: 2021, tom: 32, strony: 59-88), Wydawca: Cambrigde University Press
    Status:
    Published
    DOI:
    10.1017/S0956792520000030 - link to the publication
  3. Convergence analysis for double phase obstacle problems with multivalued convection term
    Authors:
    Shengda Zeng, Yunru Bai, Leszek Gasinski, Patrick Winkert
    Academic press:
    ADVANCES IN NONLINEAR ANALYSIS (rok: 2021, tom: 10, strony: 659-672), Wydawca: WALTER DE GRUYTER GMBH
    Status:
    Published
    DOI:
    10.1515/anona-2020-0155 - link to the publication
  4. Existence of Solutions for Implicit Obstacle Problems of Fractional Laplacian Type Involving Set-Valued Operators
    Authors:
    Dumitru Motreanu, Van Thien Nguyen, Shengda Zeng
    Academic press:
    Journal of Optimization Theory and Applications (rok: 2020, tom: 187, strony: 391-407), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10957-020-01752-4 - link to the publication
  5. Existence results for double phase implicit obstacle problems involving multivalued operators
    Authors:
    Shengda Zeng, Yunru Bai, Leszek Gasinski, Patrick Winkert
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2020, tom: 59, strony: 176), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-020-01841-2 - link to the publication
  6. Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian
    Authors:
    Shengda Zeng , Jinxia Cen, Abdon Atangana, Van Thien Nguyen
    Academic press:
    Zeitschrift fur angewandte Mathematik und Physik ZAMP (rok: 2021, tom: 72, strony: 30), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s00033-020-01460-z - link to the publication
  7. A class of generalized mixed variational–hemivariational inequalities II: Applications
    Authors:
    Stanislaw Migórski, Yunru Bai, Shengda Zeng
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2019, tom: 50, strony: 633-650), Wydawca: Elsevier Ltd.
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2019.06.006 - link to the publication
  8. A new modified subgradient extragradient method for solving variational inequalities
    Authors:
    Stanisław Migórski, Changjie Fang, Shengda Zeng
    Academic press:
    Applicable Analysis (rok: 2019, tom: 100, strony: 135-144), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/00036811.2019.1594202 - link to the publication
  9. Convergence of a generalized penalty method for variational–hemivariational inequalities
    Authors:
    Shengda Zeng, Stanisław Migórski, Zhenhai Liu, Jen-Chih Yao
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2021, tom: 92, strony: 105476), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2020.105476 - link to the publication
  10. Differential variational–hemivariational inequalities: existence, uniqueness, stability, and convergence
    Authors:
    Guo-ji Tang, Jinxia Cen, Van Thien Nguyen, Shengda Zeng
    Academic press:
    Journal of Fixed Point Theory and Applications (rok: 2020, tom: 22, strony: 83), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s11784-020-00814-4 - link to the publication
  11. Existence of Solutions for a Class of Noncoercive Variational–Hemivariational Inequalities Arising in Contact Problems
    Authors:
    Yongjian Liu, Zhenhai Liu, Ching-Feng Wen, Jen-Chih Yao, Shengda Zeng
    Academic press:
    Applied Mathematics & Optimization (rok: 2020, tom: Early Access, strony: 23 pages), Wydawca: Springer Science+Business Media
    Status:
    Published
    DOI:
    10.1007/s00245-020-09703-1 - link to the publication
  12. Generalized fractional evolution equations driven by fuzzy variational inequalities
    Authors:
    Shengda Zeng, Jinxia Cen, Van Thien Nguyen
    Academic press:
    FUZZY SETS AND SYSTEMS (rok: 2021, tom: 420, strony: 142-151), Wydawca: ELSEVIER SCIENCE BV,
    Status:
    Published
    DOI:
    10.1016/j.fss.2017.09.010 - link to the publication
  13. HISTORY-DEPENDENT DIFFERENTIAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES WITH APPLICATIONS TO CONTACT MECHANICS
    Authors:
    Liu Zhenhai, Van Thien Nguyen, Yao Jen-Chih, Zeng Shengda
    Academic press:
    EVOLUTION EQUATIONS AND CONTROL THEORY (rok: 2020, tom: 9, strony: 1073-1087), Wydawca: AMER INST MATHEMATICAL SCIENCES-AIMS
    Status:
    Published
    DOI:
    10.3934/eect.2020044 - link to the publication
  14. MAXIMUM PRINCIPLES FOR A CLASS OF GENERALIZED TIME-FRACTIONAL DIFFUSION EQUATIONS
    Authors:
    Shengda Zeng, Stanislaw Migorski, Van Thien Nguyen, Yunru Bai
    Academic press:
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS (rok: 2020, tom: 23, strony: 822-836), Wydawca: WALTER DE GRUYTER GMBH
    Status:
    Published
    DOI:
    10.1515/fca-2020-0041 - link to the publication
  15. Well-Posedness of History/State-Dependent Implicit Sweeping Processes
    Authors:
    Shengda Zeng, Emilio Vilches
    Academic press:
    Journal of Optimization Theory and Applications (rok: 2020, tom: 186, strony: 960-984), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10957-020-01730-w - link to the publication
  16. A Class of Generalized Evolutionary Problems Driven by Variational Inequalities and Fractional Operators
    Authors:
    Stanisław Migorski, Shengda Zeng
    Academic press:
    Set-Valued and Variational Analysis (rok: 2019, tom: 27, strony: 949-970), Wydawca: SPRINGER
    Status:
    Published
    DOI:
    10.1007/s11228-018-0502-7 - link to the publication
  17. A class of generalized mixed variational–hemivariational inequalities I: Existence and uniqueness results
    Authors:
    Yunru Bai, Stanisław Migórski, Shengda Zeng
    Academic press:
    Computers and Mathematics with Applications (rok: 2020, tom: 79, strony: 2897-2911), Wydawca: PERGAMON-ELSEVIER SCIENCE LTD
    Status:
    Published
    DOI:
    10.1016/j.camwa.2019.12.025 - link to the publication
  18. Evolutionary variational–hemivariational inequalities with applications to dynamic viscoelastic contact mechanics
    Authors:
    Han Jiangfeng, Lu Liang, Zeng Shengda
    Academic press:
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (rok: 2020, tom: 71, strony: 32), Wydawca: SPRINGER INTERNATIONAL PUBLISHING AG
    Status:
    Published
    DOI:
    10.1007/s00033-020-1260-6 - link to the publication
  19. Gap Functions and Error Bounds for Variational–Hemivariational Inequalities
    Authors:
    Nguyen Van Hung, Stanislaw Migórski, Vo Minh Tam, Shengda Zeng
    Academic press:
    ACTA APPLICANDAE MATHEMATICAE (rok: 2020, tom: 169, strony: 691-709), Wydawca: SPRINGER
    Status:
    Published
    DOI:
    10.1007/s10440-020-00319-9 - link to the publication
  20. MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS
    Authors:
    S. Migorski, S. Zeng
    Academic press:
    Acta Mathematica Scientia (rok: 2019, tom: 39B, strony: 461-468), Wydawca: Wuhan Institute Physics and Mathematics
    Status:
    Published
    DOI:
    10.1007/s10473-019-0211-9 - link to the publication
  21. NONLOCAL ELLIPTIC VARIATIONAL-HEMIVARIATIONAL INEQUALITIES
    Authors:
    STANISŁAW MIGÓRSKI, VAN THIEN NGUYEN, SHENGDA ZENG
    Academic press:
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS (rok: 2020, tom: 32, strony: 51-58), Wydawca: ROCKY MT MATH CONSORTIUM
    Status:
    Published
    DOI:
    10.1216/jie.2020.32.51 - link to the publication
  22. On convergence of numerical methods for variational–hemivariational inequalities under minimal solution regularity
    Authors:
    Weimin Han, Shengda Zeng
    Academic press:
    Applied Mathematics Letters (rok: 2019, tom: 93, strony: 105-110), Wydawca: Elsevier Ltd.
    Status:
    Published
    DOI:
    10.1016/j.aml.2019.02.007 - link to the publication
  23. Positive solutions to nonlinear nonhomogeneous inclusion problems with dependence on the gradient
    Authors:
    Shengda Zeng, Zhenhai Liu, Stanislaw Migorski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 463, strony: 432-448), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.03.033 - link to the publication
  24. Solvability of parabolic variational-hemivariational inequalities involving space-fractional Laplacian
    Authors:
    Stanisław Migórski, Van Thien Nguyen, Shengda Zeng
    Academic press:
    Applied Mathematics and Computation (rok: 2020, tom: 364, strony: 124668), Wydawca: ELSEVIER SCIENCE INC
    Status:
    Published
    DOI:
    10.1016/j.amc.2019.124668 - link to the publication
  25. THE ROTHE METHOD FOR MULTI-TERM TIME FRACTIONAL INTEGRAL DIFFUSION EQUATIONS
    Authors:
    S. Migorski, S. Zeng
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B (rok: 2019, tom: 24, strony: 719-735), Wydawca: AMER INST MATHEMATICAL SCIENCES-AIMS
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018204 - link to the publication
  26. Topological properties of the solution sets for parametric nonlinear Dirichlet problems
    Authors:
    Shengda Zeng, Leszek Gasiński, Van Thien Nguyen, Yunru Bai
    Academic press:
    Complex Variables and Elliptic Equations (rok: 2021, tom: 66, strony: 144-153), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/17476933.2020.1730826 - link to the publication
  27. Well-posedness of history-dependent sweeping processes
    Authors:
    S. Migorski, M. Sofonea, S.D. Zeng
    Academic press:
    SIAM Journal on Mathematical Analysis (rok: 2019, tom: 51, strony: 1082-1107), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/18M1201561 - link to the publication
  28. A class of history-dependent differential variational inequalities with application to contact problems
    Authors:
    Stanisław Migórski, Zhenhai Liu, Shengda Zeng
    Academic press:
    Optimization (rok: 2019, tom: 69, strony: 743-775), Wydawca: TAYLOR & FRANCIS LTD
    Status:
    Published
    DOI:
    10.1080/02331934.2019.1647539 - link to the publication
  29. Continuity results for parametric nonlinear singular Dirichlet problems
    Authors:
    Yunru Bai, Dumitru Motreanu, Shengda Zeng
    Academic press:
    ADVANCES IN NONLINEAR ANALYSIS (rok: 2020, tom: 9, strony: 372-387), Wydawca: WALTER DE GRUYTER GMBH
    Status:
    Published
    DOI:
    10.1515/anona-2020-0005 - link to the publication
  30. Penalty method for a class of differential variational inequalities
    Authors:
    Zhenhai Liu, Shengda Zeng
    Academic press:
    Applicable Analysis (rok: 2019, tom: online, strony: online), Wydawca: TAYLOR & FRANCIS LTD
    Status:
    Published
    DOI:
    10.1080/00036811.2019.1652736 - link to the publication
  31. Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient
    Authors:
    Zhenhai Liu, Dumitru Motreanu, Shengda Zeng
    Academic press:
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (rok: 2019, tom: 58, strony: 28), Wydawca: SPRINGER HEIDELBERG
    Status:
    Published
    DOI:
    10.1007/s00526-018-1472-1 - link to the publication
  32. W-1,W-p versus C-1: The nonsmooth case involving critical growth
    Authors:
    Bai Yunru, Gasinski Leszek, Winkert Patrick, Zeng Shengda
    Academic press:
    BULLETIN OF MATHEMATICAL SCIENCES (rok: 2020, tom: 10, strony: 15 pages), Wydawca: WORLD SCIENTIFIC PUBL CO PTE LTD
    Status:
    Published
    DOI:
    10.1142/S1664360720500095 - link to the publication
  33. Well-posedness of a class of generalized mixed hemivariational–variational inequalities
    Authors:
    Yunru Bai, Stanisław Migórski, Shengda Zeng
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2019, tom: 48, strony: 424-444), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2019.02.001 - link to the publication
  34. A class of fractional differential hemivariational inequalities with application to contact problem
    Authors:
    Shengda Zeng, Zhenhai Liu and Stanislaw Migorski
    Academic press:
    Zeitschrift fur angewandte Mathematik und Physik ZAMP (rok: 2018, tom: 69, strony: 36), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00033-018-0929-6 - link to the publication
  35. Existence of solutions for double phase obstacle problems with multivalued convection term
    Authors:
    Shengda Zeng, Leszek Gasiński, Patrick Winkert, Yunru Bai
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2021, tom: 501, strony: 123997), Wydawca: ACADEMIC PRESS INC ELSEVIER SCIENCE
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2020.123997 - link to the publication
  36. Hyperbolic hemivariational inequalities controlled by evolution equations with application to adhesive contact model
    Authors:
    Stanislaw Migorski, Shengda Zeng
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2018, tom: 43, strony: 121-143), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2018.02.008 - link to the publication
  37. Inverse Problems for Nonlinear Quasi-Variational Inequalities with an Application to Implicit Obstacle Problems of p-Laplacian Type
    Authors:
    S. Migorski, A.A. Khan, S.D. Zeng
    Academic press:
    Inverse Problems (rok: 2019, tom: 35, strony: 45305), Wydawca: IOP SCIENCE
    Status:
    Published
    DOI:
    10.1088/issn.0266-5611 - link to the publication
  38. Inverse problems for nonlinear quasihemivariational inequalities with application to mixed boundary value problems
    Authors:
    Stanisław Migórski, Akhtar A Khan, Shengda Zeng
    Academic press:
    Inverse Problems (rok: 2020, tom: 36, strony: 024008 (20pp)), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1361-6420/ab44d7 - link to the publication
  39. Penalty and regularization method for variational-hemivariational inequalities with application to frictional contact
    Authors:
    Stanislaw Migorski, Shengda Zeng
    Academic press:
    Zeitschrift für Angewandte Mathematik und Mechanik (rok: 2018, tom: 98, strony: 45309), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/zamm.201700348 - link to the publication
  40. Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics
    Authors:
    S. Migorski, S.D. Zeng
    Academic press:
    Numerical Algorithms (rok: 2019, tom: 82, strony: 423-450), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11075-019-00667-0 - link to the publication

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