一类新的偏微分拟变分和抛物型变分不等式系统解的存在性及其应用

Abstract

Abstract:

This paper investigates a new class of nonlinear coupled systems on Hilbert spaces, consisting of partial differential equations, quasi-variational inequalities, and parabolic variational inequalities. Using the Banach fixed-point theorem, we prove the existence and uniqueness of solutions for this coupled system under appropriate assumptions, and apply the resulting theoretical findings to solve viscoelastic friction contact problems involving long-memory effects, wear evolution, and damage effects.

Key words: partial differential variational inequality, quasivariational inequality, parabolic variational inequality, viscoelastic friction contact problems

CLC Number:

O177.91

Wei Li, Zhenghui Tang, Zengbao Wu, Chunyan Yang, Haoyu Cai. A New Partial Differential Nonlinear System Containing Quasivariational and Parabolic Variational Inequalities and Its Application[J].Acta mathematica scientia,Series A, 2026, 46(5): 1837-1856.

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References 42

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A New Partial Differential Nonlinear System Containing Quasivariational and Parabolic Variational Inequalities and Its Application

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