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Differential History-Dependent Variational-Hemivariational Inequality with Application to a Dynamic Contact Problem.
- Source :
-
Acta Applicandae Mathematicae . Feb2024, Vol. 189, p1-32. 32p. - Publication Year :
- 2024
-
Abstract
- This paper is dedicated to the discussion of a new dynamical system involving a history-dependent variational-hemivariational inequality coupled with a non-linear evolution equation. The existence and uniqueness of the solution to this problem are established using the Rothe method and a surjectivity result for a pseudo-monotone perturbation of a maximal operator. Additionally, we derive the regularity solution for such a history-dependent variational-hemivariational inequality. Furthermore, the main results obtained in this study are applied to investigate the unique solvability of a dynamical viscoelastic frictional contact problem with long memory and wear. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 189
- Database :
- Academic Search Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 175984510
- Full Text :
- https://doi.org/10.1007/s10440-024-00637-2