General decay and blow-up results of solutions for a viscoelastic wave equation with Robin-Dirichlet conditions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-01-01 DOI:10.23952/jnfa.2020.42

L. Ngoc, L. Tri, LE Tran Ngoc Tran, N. Long

引用次数: 0

Abstract

In this paper, we investigate the unique existence, general decay and blow-up of solutions of an initial-boundary value problem for a viscoelastic wave equation with Robin-Dirichlet conditions. The proof is based on Faedo-Galerkin method associated with a priori estimate, weak convergence and compactness techniques. A numerical example is also given to illustrate the decay property of the solutions.

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具有Robin-Dirichlet条件的粘弹性波动方程解的一般衰减和爆破结果

本文研究了一类具有Robin-Dirichlet条件的粘弹性波动方程初边值问题解的唯一存在性、一般衰减性和爆破性。该证明基于Faedo-Galerkin方法，结合先验估计、弱收敛和紧性技术。最后给出了一个数值例子来说明解的衰减特性。

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.