Work

A new method for the solvability of mixed hemivariational inequalities

Year: 2025

Type: article

Abstract: This paper studies the solvability of mixed hemivariational inequalities. A new method for analyzing solvability is proposed, which is based on the projection iteration technique to construct two sequences. At each iteration step, solving hemivariational inequalities is necessary. We then show that the sequences converges strongly to the solution of mixed hemivariational inequalities. This allows the use of the solvability of hemivariational inequalities to guarantee the solvability of mixed hemivariational inequalities. Finally, the applicability of the results is illustrated by the Stokes model of a generalized Newtonian incompressible fluid with nonsmooth nonconvex slip boundary conditions.

Source: Mathematics and Mechanics of Solids

DOI: 10.1177/10812865241313129

Authors: Xin Tan, Min Zhou

Institutions: University of Electronic Science and Technology of China, Chengdu University

Language: English

Topic: Contact Mechanics and Variational Inequalities

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4407144834

FWCI: 0.961

Cites: 21

Cited by: 2

Related to: 10