A new partial differential system involving evolutionary variational-hemivariational inequalities arising in contact mechanics
This paper is devoted to the study of a new partial differential system involving an evolutionary variational inequality, a history-dependent hemivariational inequality and a partial differential equation in Banach spaces. Under mild conditions, by applying Banach’s fixed point theorem, we prove a unique solvability result for the problem. Furthermore, the main results are applied to obtain the unique solvability of a long-memory viscoelastic frictional contact problem that incorporates wear, damage, and a curved contact surface.
Authors
- Tao Chen (ORCID: https://orcid.org/0000-0001-5025-5472)
- Chenkai Xing
- Zengbao Wu (ORCID: https://orcid.org/0009-0005-4088-6939)
- Wei Li
Institutions
- Chinese Academy of Social Sciences (CN)
- University of Electronic Science and Technology of China (CN)
- Southwest Petroleum University (CN)
- Chengdu University of Information Technology (CN)
- Chengdu University of Technology (CN)
- Luoyang Normal University (CN)
- Chengdu University (CN)
- University of Chinese Academy of Sciences (CN)
Publication Details
- Journal
- Nonlinear Analysis Real World Applications
- Published
- 2026-10-05
- DOI
- https://doi.org/10.1016/j.nonrwa.2026.104770
- Primary Topic
- Contact Mechanics and Variational Inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00