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Mathematical Analysis of Complex Contact Models in Solid and Fluid Mechanics

2017/25/N/ST1/00611

Keywords

Descriptors

  • ST1_11: Równania różniczkowe cząstkowe
  • ST1_16: Analiza numeryczna i obliczenia naukowe
  • ST1_18: Zastosowania matematyki w innych naukach

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

Voivodeship: 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
2018-02-15
Project end date
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. 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 (year: 2020, volume: 23, pages: 822-836), Publisher: WALTER DE GRUYTER GMBH
    Status:
    Published
    DOI:
    10.1515/fca-2020-0041 – link to the publication

  2. 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 (year: 2020, volume: 9, pages: 1073-1087), Publisher: AMER INST MATHEMATICAL SCIENCES-AIMS
    Status:
    Published
    DOI:
    10.3934/eect.2020044 – link to the publication

  3. MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS

    Authors:
    S. Migorski, S. Zeng
    Academic press:
    Acta Mathematica Scientia (year: 2019, volume: 39B, pages: 461-468), Publisher: Wuhan Institute Physics and Mathematics
    Status:
    Published
    DOI:
    10.1007/s10473-019-0211-9 – link to the publication

  4. 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 (year: 2021, volume: 10, pages: 659-672), Publisher: WALTER DE GRUYTER GMBH
    Status:
    Published
    DOI:
    10.1515/anona-2020-0155 – link to the publication

  5. 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 (year: 2018, volume: 69, pages: 36), Publisher: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00033-018-0929-6 – link to the publication

  6. A class of differential hemivariational inequalities in Banach spaces

    Authors:
    Stanisław Migórski, Shengda Zeng
    Academic press:
    J Glob Optim (year: 2018, volume: 72, pages: 761-779), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10898-018-0667-5 – link to the publication

  7. 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 (year: 2019, volume: 24, pages: 719-735), Publisher: AMER INST MATHEMATICAL SCIENCES-AIMS
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018204 – link to the publication

  8. 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 (year: 2019, volume: 82, pages: 423-450), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11075-019-00667-0 – 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 (year: 2021, volume: 92, pages: 105476), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2020.105476 – link to the publication

  10. Well-Posedness of History/State-Dependent Implicit Sweeping Processes

    Authors:
    Shengda Zeng, Emilio Vilches
    Academic press:
    Journal of Optimization Theory and Applications (year: 2020, volume: 186, pages: 960-984), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10957-020-01730-w – link to the publication

  11. 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 (year: 2019, volume: 58, pages: 28), Publisher: SPRINGER HEIDELBERG
    Status:
    Published
    DOI:
    10.1007/s00526-018-1472-1 – link to the publication

  12. 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 (year: 2018, volume: 43, pages: 121-143), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2018.02.008 – link to the publication

  13. 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 (year: 2020, volume: 59, pages: 176), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-020-01841-2 – link to the publication

  14. 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 (year: 2020, volume: 79, pages: 2897-2911), Publisher: PERGAMON-ELSEVIER SCIENCE LTD
    Status:
    Published
    DOI:
    10.1016/j.camwa.2019.12.025 – link to the publication

  15. 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 (year: 2020, volume: 22, pages: 83), Publisher: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s11784-020-00814-4 – link to the publication

  16. 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 (year: 2019, volume: 48, pages: 424-444), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2019.02.001 – link to the publication

  17. 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 (year: 2021, volume: 72, pages: 30), Publisher: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s00033-020-01460-z – link to the publication

  18. Generalized fractional evolution equations driven by fuzzy variational inequalities

    Authors:
    Shengda Zeng, Jinxia Cen, Van Thien Nguyen
    Academic press:
    FUZZY SETS AND SYSTEMS (year: 2021, volume: 420, pages: 142-151), Publisher: ELSEVIER SCIENCE BV,
    Status:
    Published
    DOI:
    10.1016/j.fss.2017.09.010 – link to the publication

  19. A new modified subgradient extragradient method for solving variational inequalities

    Authors:
    Stanisław Migórski, Changjie Fang, Shengda Zeng
    Academic press:
    Applicable Analysis (year: 2019, volume: 100, pages: 135-144), Publisher: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/00036811.2019.1594202 – link to the publication

  20. 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 (year: 2021, volume: 32, pages: 59-88), Publisher: Cambrigde University Press
    Status:
    Published
    DOI:
    10.1017/S0956792520000030 – link to the publication

  21. 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 (year: 2020, volume: 169, pages: 691-709), Publisher: SPRINGER
    Status:
    Published
    DOI:
    10.1007/s10440-020-00319-9 – link to the publication

  22. 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 (year: 2020, volume: 71, pages: 32), Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
    Status:
    Published
    DOI:
    10.1007/s00033-020-1260-6 – link to the publication

  23. 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 (year: 2021, volume: 66, pages: 144-153), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/17476933.2020.1730826 – link to the publication

  24. 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 (year: 2021, volume: 501, pages: 123997), Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2020.123997 – link to the publication

  25. 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 (year: 2020, volume: 187, pages: 391-407), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10957-020-01752-4 – link to the publication

  26. 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 (year: 2020, volume: 36, pages: 024008 (20pp)), Publisher: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1361-6420/ab44d7 – link to the publication

  27. 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 (year: 2018, volume: 98, pages: 46040), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1002/zamm.201700348 – link to the publication

  28. 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 (year: 2020, volume: Early Access, pages: 23 pages), Publisher: Springer Science+Business Media
    Status:
    Published
    DOI:
    10.1007/s00245-020-09703-1 – link to the publication

  29. 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 (year: 2020, volume: 10, pages: 15 pages), Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
    Status:
    Published
    DOI:
    10.1142/S1664360720500095 – link to the publication

  30. 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 (year: 2019, volume: 35, pages: 46036), Publisher: IOP SCIENCE
    Status:
    Published
    DOI:
    10.1088/issn.0266-5611 – link to the publication

  31. NONLOCAL ELLIPTIC VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

    Authors:
    STANISŁAW MIGÓRSKI, VAN THIEN NGUYEN, SHENGDA ZENG
    Academic press:
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS (year: 2020, volume: 32, pages: 51-58), Publisher: ROCKY MT MATH CONSORTIUM
    Status:
    Published
    DOI:
    10.1216/jie.2020.32.51 – link to the publication

  32. A class of generalized mixed variational–hemivariational inequalities II: Applications

    Authors:
    Stanislaw Migórski, Yunru Bai, Shengda Zeng
    Academic press:
    Nonlinear Analysis: Real World Applications (year: 2019, volume: 50, pages: 633-650), Publisher: Elsevier Ltd.
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2019.06.006 – link to the publication

  33. Penalty method for a class of differential variational inequalities

    Authors:
    Zhenhai Liu, Shengda Zeng
    Academic press:
    Applicable Analysis (year: 2019, volume: online, pages: online), Publisher: TAYLOR & FRANCIS LTD
    Status:
    Published
    DOI:
    10.1080/00036811.2019.1652736 – link to the publication

  34. A class of history-dependent differential variational inequalities with application to contact problems

    Authors:
    Stanisław Migórski, Zhenhai Liu, Shengda Zeng
    Academic press:
    Optimization (year: 2019, volume: 69, pages: 743-775), Publisher: TAYLOR & FRANCIS LTD
    Status:
    Published
    DOI:
    10.1080/02331934.2019.1647539 – link to the publication

  35. On convergence of numerical methods for variational–hemivariational inequalities under minimal solution regularity

    Authors:
    Weimin Han, Shengda Zeng
    Academic press:
    Applied Mathematics Letters (year: 2019, volume: 93, pages: 105-110), Publisher: Elsevier Ltd.
    Status:
    Published
    DOI:
    10.1016/j.aml.2019.02.007 – link to the publication

  36. Solvability of parabolic variational-hemivariational inequalities involving space-fractional Laplacian

    Authors:
    Stanisław Migórski, Van Thien Nguyen, Shengda Zeng
    Academic press:
    Applied Mathematics and Computation (year: 2020, volume: 364, pages: 124668), Publisher: ELSEVIER SCIENCE INC
    Status:
    Published
    DOI:
    10.1016/j.amc.2019.124668 – link to the publication

  37. Continuity results for parametric nonlinear singular Dirichlet problems

    Authors:
    Yunru Bai, Dumitru Motreanu, Shengda Zeng
    Academic press:
    ADVANCES IN NONLINEAR ANALYSIS (year: 2020, volume: 9, pages: 372-387), Publisher: WALTER DE GRUYTER GMBH
    Status:
    Published
    DOI:
    10.1515/anona-2020-0005 – link to the publication

  38. 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 (year: 2018, volume: 463, pages: 432-448), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.03.033 – link to the publication

  39. 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 (year: 2019, volume: 27, pages: 949-970), Publisher: SPRINGER
    Status:
    Published
    DOI:
    10.1007/s11228-018-0502-7 – link to the publication

  40. Well-posedness of history-dependent sweeping processes

    Authors:
    S. Migorski, M. Sofonea, S.D. Zeng
    Academic press:
    SIAM Journal on Mathematical Analysis (year: 2019, volume: 51, pages: 1082-1107), Publisher: SIAM
    Status:
    Published
    DOI:
    10.1137/18M1201561 – link to the publication

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Graphic design and implementation: Jakub Piotrowski