A Class of History-Dependent Systems of Evolution Inclusions with Applications

Autor:	Migorski, S.
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs
Zdroj:	Nonlinear Analysis: Real World Applications 67 (2022) 103593
Druh dokumentu:	Working Paper
DOI:	10.1016/j.nonrwa.2022.103593
Popis:	This paper is devoted to studying a system of coupled nonlinear first order history-dependent evolution inclusions in the framework of evolution triples of spaces. The multivalued terms are of the Clarke subgradient or of the convex subdifferential form. Using a surjectivity result for multivalued maps and a fixed point argument for a history-dependent operator, we prove that the system has a unique solution. We conclude with two examples of an evolutionary differential variational-hemivariational inequality and of a dynamic frictional contact problem in mechanics, which illustrate the abstract results. Comment: 22p
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.04713 Zobrazit plný text záznamu View this record from Arxiv