Nonlinear Differential Variational-Hemivariational Inequalities with Applications

Dissemination of Results - Research Project Outcomes:

Conference / Symposium

Members of the research team presented the results obtained during the execution of the research tasks of the project at international conferences and seminars:
S. Migórski, "Constrained quasi-variational-hemivariational inequalities with applications", The 14th AIMS Conference on Dynamical Systems and Differential Equations, Abu Dhabi, UAE, December 16 - 20, 2024
A. Ochal, "A convergence criterion for elliptic quasivariational inequalities (SS96)” and “Time-dependent variational-hemivariational inequalities with applications (SS110)", The 14th AIMS Conference on Dynamical Systems and Differential Equations, Abu Dhabi, UAE, December 16 - 20, 2024
A. Ochal, "Well-posedness results in the study of quasivariational inequalities", VIII Symposium on Nonlinear Analysis, Toruń, Poland, June 17-21, 2024
K. Bartosz, "Existence of weak solution for a dynamic adhesive Signorini’s contact problem”, Dynamical Systems and Applications VI, DSA 2024, Łódź, Poland, June 26 - 28, 2024
P. Bartman-Szwarc, "Aggregate Subgradient Method for Hemivariational Inequalities", Emerging trends in Applied Mathematics and Mechanics, A Coruña, Spain, May 20 - 24, 2024
K. Bartosz, "Existence of weak solution for a dynamic Signorini’s contact problem with nonmonotone friction law”, Emerging trends in Applied Mathematics and Mechanics, A Coruña, Spain, May 20 - 24, 2024
K. Bartosz, "Existence of weak solution for a dynamic Signorini’s contact problem with nonmonotone friction law”, Emerging trends in Applied Mathematics and Mechanics, A Coruña, Spain, May 20 - 24, 2024
S. Migórski, "Quasi-Variational-Hemivariational Inequalities for Incompressible Navier - Stokes System with Bingham Fluid”, Emerging trends in Applied Mathematics and Mechanics, A Coruña, Spain (plenary talk), May 20 - 24, 2024
A. Ochal, "On a new penalty method for quasivariational inequalities", Emerging trends in Applied Mathematics and Mechanics, A Coruña, Spain, May 20 - 24, 2024
S. Migórski, "Variational inequality concepts in contact mechanics" Guangxi Mathematical Society Meeting, Liuzhou, P.R. China (invited talk), October 27-29, 2023
P. Bartman-Szwarc, "Analysis of a convergence of a class of elliptic boundary hemivariational inequalities with application to steady-state heat transfer problems", Austral University, Rosario, Argentina (seminar), September 15, 2023
A. Ochal, "A convergence criterium for penalty quasivariational inequalities", Austral University, Rosario, Argentina (seminar), September 15, 2023
Bartman-Szwarc, P. "Numerical Methods for Variational Problems" Department of Mathematics, Austral University, Rosario, Argentina (seminar), September 13, 2023
Prządka W., Bartman-Szwarc, P. "Numerical Methods for Variational Problems" Department of Mathematics, Austral University, Rosario, Argentina (seminar), September 13, 2023
P. Bartman-Szwarc, "Numba accelerated scientific software engineering", Federation University in Ballarat, Australia (seminar), March 23, 2023
Migórski, S. "Well-posedness of parabolic variational-hemivariational inequalites with unilateral constraints" The 10th International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo, Japan (online talk), August 20-25, 2023
Ochal, A. "Duality Arguments in the Analysis of a Viscoelastic Contact Problem" The 10th International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo, Japan (online talk), August 20-25, 2023
Bartosz, K. "Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem", VII International Conference on Computational Contact Mechanics, Turin, Italy (contributed talk) July, 5-7, 2023
Bartosz, K. "Rothe Method for an adhesive contact of a nonlinear viscoelastic rod", Nonsmooth Problems with Applications in Mechanics, Będlewo, Poland (invited talk), June 17-22, 2023
Migórski, S. "A Differential Quasi Variational-Hemivariational Inequalities: Well-Posedness and Application", Guangxi University for Nationalities, Nanning, China (online seminar), December 14, 2022
Ochal, A. "Mathematical modeling of the world" Analysis in Tatra, Małe Ciche, Poland (off-site seminar), September 7-11, 2022
Migórski, S. "On a class of variational inequalities" Analysis in Tatra, Małe Ciche, Poland (off-site seminar), September 7-11, 2022

Science Popularization Event

S. Migórski was a member of scientific committee of the confenrence Emerging trends in Applied Mathematics and Mechanics, A Coruña, Spain, May 20 - 24, 2024 and a co-organizer of the special sesion "Evolution Equations with Applications to Control, Mathematical Modeling and Mechanics", during the 14th AIMS Conference on Dynamical Systems and Differential Equations, December 16-20, 2024, Abu Dhabi, UAE
A. Ochal was a member of scientific committee and organizing committee of the conference Dynamical Systems and Applications VI, Łódź, Poland, June 26-28, 2024, and a co-organizer of the mini-symposium „Recent trends in differential equations and inequalities” during the conference Emerging Trends in Applied Mathematics and Mechanics, A Coruña, Spain, May 20-24, 2024 and the mini-symposium "Differential Equations, Inequalities, and their Multifaceted Applications” during the conference Dynamical Systems and Applications VI, Łódź, Poland, June 26-28, 2024
A. Ochal was co-organizer of the off-site seminar "Analysis in Tatra," Małe Ciche (September 8-12, 2024) which promoted a broad understanding of analysis, including the kind used in the project. The seminar's interdisciplinary nature also facilitated the introduction of young mathematicians from the University of Warsaw (UW) and Jagiellonian University (UJ) to the topic. S. Migórski was a member of program committee of the 2nd World Conference on Artificial Intelligence, Machine Learning and Data Science, Paris, France (October 19-20, 2023)
A. Ochal was co-organizer of the off-site seminar "Analysis in Tatra," Małe Ciche (September 10-14, 2023)
S. Migórski was co-organizer of minisymposium on "Recent Advances in Variational and Hemivariational Inequalities and Related Topics" during the 10th International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo, Japan, (August 20-25, 2023)
S. Migórski was a member of organizing committee of the 6th International Conference on Mathematics and Statistics, (ICoMS 2023), Leipzig, Germany, (July 14-16, 2023)
S. Migórski, A. Ochal and K. Bartosz were co-organizers of the conference Nonsmooth Problems with Applications in Mechanics, Będlewo, Poland (June 17-22, 2023)
S. Migórski was co-organizer of special sesion "Optimal Control of Finite and Infinite Dimensional Dynamic Systems and their Applications" during the 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Wilmington, NC USA (May 31-June 4, 2023).
A. Ochal and K. Bartosz were co-organizers of the off-site seminar "Analysis in Tatra," Małe Ciche (September 7-11, 2022).

Inclusion in a Public Database

For computer simulations the CONMECH software was created and developed. It is available on the hosting website GitHub.