A new class of hyperbolic variational-hemivariational inequalities driven by non-linear evolution equations

Stanislaw Migorski; Weimin Han; Shengda Zeng

doi:10.1017/S0956792520000030

Back

A new class of hyperbolic variational-hemivariational inequalities driven by non-linear evolution equations

Journal article

Open access

Peer reviewed

A new class of hyperbolic variational-hemivariational inequalities driven by non-linear evolution equations

Stanislaw Migorski, Weimin Han and Shengda Zeng

European journal of applied mathematics, Vol.32(1), pp.59-88

02/01/2021

DOI: 10.1017/S0956792520000030

Files and links (1)

url

https://doi.org/10.1017/S0956792520000030View

Published (Version of record) Open Access

Abstract

The aim of the paper is to introduce and investigate a dynamical system which consists of a variational hemivariational inequality of hyperbolic type combined with a non-linear evolution equation. Such a dynamical system arises in studies of complicated contact problems in mechanics. Existence, uniqueness and regularity of a global solution to the system are established. The approach is based on a new semi-discrete approximation with an application of a surjectivity result for a pseudomonotone perturbation of a maximal monotone operator. A new dynamic viscoelastic frictional contact model with adhesion is studied as an application, in which the contact boundary condition is described by a generalised normal damped response condition with unilateral constraint and a multivalued frictional contact law.

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

Details

Title: Subtitle: A new class of hyperbolic variational-hemivariational inequalities driven by non-linear evolution equations
Creators: Stanislaw Migorski - Chengdu University
Weimin Han - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
Shengda Zeng - Yulin Normal University
Resource Type: Journal article
Publication Details: European journal of applied mathematics, Vol.32(1), pp.59-88
DOI: 10.1017/S0956792520000030
ISSN: 0956-7925
eISSN: 1469-4425
Publisher: CAMBRIDGE UNIV PRESS
Number of pages: 30
Grant note: 823731 CONMECH / European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant; European Union (EU) DMS-1521684 / NSF; National Science Foundation (NSF) 2017/25/N/ST1/00611 / National Science Center of Poland; National Science Center, Poland; National Science Centre, Poland 2018GXNSFAA281353 / Natural Science Foundation of Guangxi; National Natural Science Foundation of Guangxi Province 4004/GGPJII/H2020/2018/0; 440328/PnH2/2019 / Ministry of Science and Higher Education of Republic of Poland; Ministry of Science and Higher Education, Poland
Language: English
Date published: 02/01/2021
Academic Unit: Mathematics
Record Identifier: 9984241054602771

Metrics

25 Record Views

26 Times Cited - Web of Science