Differential History-Dependent Variational-Hemivariational Inequality with Application to a Dynamic Contact Problem

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED Acta Applicandae Mathematicae Pub Date : 2024-02-12 DOI:10.1007/s10440-024-00637-2
Abderrahmane Oultou, Zakaria Faiz, Othmane Baiz, Hicham Benaissa
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Abstract

This paper is dedicated to the discussion of a new dynamical system involving a history-dependent variational-hemivariational inequality coupled with a non-linear evolution equation. The existence and uniqueness of the solution to this problem are established using the Rothe method and a surjectivity result for a pseudo-monotone perturbation of a maximal operator. Additionally, we derive the regularity solution for such a history-dependent variational-hemivariational inequality. Furthermore, the main results obtained in this study are applied to investigate the unique solvability of a dynamical viscoelastic frictional contact problem with long memory and wear.

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微分历史变分-半变量不等式在动态接触问题中的应用
本文致力于讨论一个新的动力系统,该系统涉及一个与历史相关的变分-半变量不等式和一个非线性演化方程。我们利用罗特方法和最大算子伪单调扰动的可射性结果,确定了该问题解的存在性和唯一性。此外,我们还推导出了这种依赖历史的变分-半变分不等式的正则解。此外,本研究获得的主要结果还被应用于研究具有长记忆和磨损的动态粘弹性摩擦接触问题的唯一可解性。
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来源期刊
Acta Applicandae Mathematicae
Acta Applicandae Mathematicae 数学-应用数学
CiteScore
2.80
自引率
6.20%
发文量
77
审稿时长
16.2 months
期刊介绍: Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
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