Optimal Control of a New Class of Parabolic Quasi Variational–Hemivariational Inequality

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Applied Mathematics and Optimization Pub Date : 2024-10-14 DOI:10.1007/s00245-024-10190-x

Zhao Jing, Ze Yuan, Zhenhai Liu, Stanislaw Migórski

引用次数: 0

Abstract

The primary objective of this paper is to study a new class of parabolic quasi variational–hemivariational inequalities. First, we prove a unique solvability result for such class under some mild conditions. Second, we show the existence of an optimal solution for an associated control problem. Finally, these results are applied to a model of quasistatic frictional contact in mechanics.

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一类新的抛物线准变-半变量不等式的优化控制

本文的主要目的是研究一类新的抛物线准变分-半变量不等式。首先，我们证明了这类不等式在一些温和条件下的唯一可解性。其次，我们证明了相关控制问题存在最优解。最后，我们将这些结果应用于力学中的准静态摩擦接触模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics and Optimization 数学-应用数学

CiteScore

3.30

自引率

5.60%

发文量

103

审稿时长

>12 weeks

期刊介绍： The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Core topics include calculus of variations, partial differential equations, stochastic control, optimization of deterministic or stochastic systems in discrete or continuous time, homogenization, control theory, mean field games, dynamic games and optimal transport. Algorithmic, data analytic, machine learning and numerical methods which support the modeling and analysis of optimization problems are encouraged. Of great interest are papers which show some novel idea in either the theory or model which include some connection with potential applications in science and engineering.