Rothe method for evolutionary quasi-variational-hemivariational inequalities with application to Oseen model for generalized newtonian fluid
Abstract
In this paper, we introduce a novel approach to establish the existence of solutions for evolutionary quasi-variational-hemivariational inequalities, leveraging the Rothe method and our recent results on stationary quasi-variational-hemivariational inequalities. Our method presents an alternative to the existing literature by relaxing certain monotonicity-type conditions and introducing an iterative technique suitable for developing numerical solutions. We further apply our results to a nonstationary Oseen model for incompressible fluid flow with nonmonotone boundary conditions, where the constraint set depends on the unknown solution.
Fields of Study & Subjects
Contact Mechanics and Variational Inequalities
Optimization and Variational Analysis
Advanced Numerical Methods in Computational Mathematics
Publication details
- Journal / source
- Optimization
- Volume
- 75
- Issue
- 4
- Pages
- 837–864
- Publication date
- 6 February 2026
- Language
- EN