带有非线性阻尼和源项的加权毕谐方程的存在性、衰减和炸裂解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-03-07 DOI:10.1155/2024/5866792

Ayşe Fidan, Erhan Pişkin, Ercan Çelik

引用次数: 0

摘要

在本文中，我们考虑了带有非线性阻尼和源项的加权双谐波方程。我们证明了解的全局存在性。随后，利用中尾不等式确定了能量的衰减。最后，我们证明了有限时间内解的炸毁。

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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Existence, Decay, and Blow-up of Solutions for a Weighted -Biharmonic Equation with Nonlinear Damping and Source Terms

In this paper, we consider the weighted -biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time.

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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.