Differential variational–hemivariational inequalities with application to contact mechanics
Authors:
- Stanisław Migórski,
- Dong-ling Cai,
- Sylwia Dudek
Abstract
In this paper we study a dynamical system which consists of the Cauchy problem for a nonlinear evolution equation of first order coupled with a nonlinear time-dependent variational–hemivariational inequality with constraint in Banach spaces. The evolution equation is considered in the framework of evolution triple of spaces, and the inequality which involves both the convex and nonconvex potentials. We prove existence of solution by the Kakutani-Ky Fan fixed point theorem combined with the Minty formulation and the theory of hemivariational inequalities. We illustrate our findings by examining a nonlinear quasistatic elastic frictional contact problem for which we provide a result on existence of weak solution.
- Record ID
- CUTa22c4668bb704f849669ff8f8ee6bd63
- Publication categories
- ;
- Author
- Journal series
- Nonlinear Analysis-Real World Applications, ISSN 1468-1218
- Issue year
- 2023
- Vol
- 71
- Pages
- [1-25]
- Article number
- 103816
- Other elements of collation
- Bibliografia (na s.) - 24-25; Bibliografia (liczba pozycji) - 32; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 71
- Keywords in English
- variational-hemivariational inequality, Clarke subgradient, boundary conditions, evolution equation, evolution triple, frictional contact, signorini unilateral condition
- ASJC Classification
- ; ; ; ; ;
- DOI
- DOI:10.1016/j.nonrwa.2022.103816 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S1468121822001997 Opening in a new tab
- Related project
- Nieliniowe nierówności różniczkowe wariacyjno-hemiwariacyjne i ich zastosowania. . Project leader at PK: , ,
- Language
- eng (en) English
- Score (nominal)
- 100
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTa22c4668bb704f849669ff8f8ee6bd63/
- URN
urn:pkr-prod:CUTa22c4668bb704f849669ff8f8ee6bd63
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