A new partial differential nonlinear system containing quasivariational and parabolic variational inequalities and its application
Abstract
We study a new nonlinear system which contains a partial differential equation, a quasivariational inequality and a parabolic variational inequality in Banach spaces. We obtain the unique solvability of the coupled system under moderate conditions by using the Banach's fixed point theorem. We employ the main results to investigate a viscoelastic frictional contact problem with long-memory effects, wear processes, and damage phenomenon.
Fields of Study & Subjects
Contact Mechanics and Variational Inequalities
Stability and Controllability of Differential Equations
Dynamics and Control of Mechanical Systems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 2 January 2026
- Document type
- Preprint