An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-09 DOI:10.1080/01630563.2023.2266004

Rohit Patel, V. Vijayakumar, Shimpi Singh Jadon, Anurag Shukla

引用次数: 0

Abstract

AbstractIn this article, the main objective is the conversation about the optimal control problem of the semilinear thermoelastic system, in which the control term is placed solely in the thermal equation. We discuss the existence and uniqueness of mild solutions by applying the contraction mapping for the considered system. By assuming some conditions specified Lagrange’s problem acknowledges at least one optimal control pair. For proving the main results, we are assuming the Lipschitz condition on the nonlinear term.KEYWORDS: Existencemild solutionoptimal controlsemilinear thermoelastic systemuniquenessMATHEMATICS SUBJECT CLASSIFICATION: 34A0834K3549J15

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半线性热弹性系统温和解的存在性及最优控制分析

摘要本文的主要目的是讨论控制项单独放在热方程中的半线性热弹性系统的最优控制问题。利用所考虑的系统的收缩映射，讨论了温和解的存在唯一性。通过假定某些条件，拉格朗日问题承认至少有一个最优控制对。为了证明主要结果，我们在非线性项上假设了Lipschitz条件。关键词:存在温和解最优控制半线性热弹性系统唯一性数学学科分类:34A0834K3549J15

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.