On a biharmonic coupled system with non-standard nonlinearity: Existence, blow up and numerics

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-16 DOI:10.3233/asy-231891

O. Bouhoufani, S. Messaoudi, M. Alahyane

引用次数: 0

Abstract

In this paper, we consider a coupled system of two biharmonic equations with damping and source terms of variable-exponent nonlinearities, supplemented with initial and mixed boundary conditions. We establish an existence and uniqueness result of a weak solution, under suitable assumptions on the variable exponents. Then, we show that solutions with negative-initial energy blow up in finite time. To illustrate our theoritical findings, we present two numerical examples.

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关于具有非标准非线性的双谐波耦合系统：存在、爆炸和数值

在本文中，我们考虑了两个双谐波方程的耦合系统，该系统具有阻尼和源项的变指数非线性，并辅以初始条件和混合边界条件。在适当的变指数假设条件下，我们建立了弱解的存在性和唯一性结果。然后，我们证明了具有负初始能量的解会在有限时间内炸毁。为了说明我们的理论发现，我们给出了两个数值示例。

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.