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arXiv · 2601.00934

A new partial differential nonlinear system containing quasivariational and parabolic variational inequalities and its application

Wei Li·Zhenghui Tang·Zengbao Wu·Chunyan Yang
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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.

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Wei Li, Zhenghui Tang, Zengbao Wu, Chunyan Yang. 2026-01-02. A new partial differential nonlinear system containing quasivariational and parabolic variational inequalities and its application. https://arxiv.org/abs/2601.00934

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