三维可压缩微波方程的全局拟合性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-16 DOI:10.1016/j.nonrwa.2024.104192

Tao Liang , Yongsheng Li , Xiaoping Zhai

引用次数: 0

摘要

在本文中，我们研究了三维可压缩微极性方程在无热传导情况下的 Cauchy 问题。通过利用傅立叶理论和精炼能量法，我们在贝索夫空间内建立了小初始数据下方程的全局好求解性。作为副产品，我们还推导出了在Ḃ2,∞-σ1(R3)初始数据频率较低时，解的最佳时间衰减。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Global well-posedness for the three dimensional compressible micropolar equations

In this paper, we study the Cauchy problem of the three-dimensional compressible micropolar equations in the absence of heat-conductivity. By leveraging Fourier theory and employing a refined energy method, we establish the global well-posedness of the equations for small initial data within Besov spaces. As a byproduct, we also derive the optimal time decay of solutions if the low frequency of initial data belonging to ${\dot{B}}_{2, \infty}^{- σ_{1}} (R^{3})$ .

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.