R^3 中初始数据不连续的可压缩磁微波流体的全局低能弱解

Pub Date : 2023-12-20 DOI:10.58997/ejde.2023.86

Wanping Wu, Yinghui Zhang

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摘要

本文涉及具有不连续初始数据的可压缩磁介质流体的三维 Cauchy 问题的弱解。在初始数据能量较小、初始密度为正且基本有界的假设下，我们确定了全局时间弱解的存在。此外，我们还得到了这些解的大时间行为。更多信息请参见 https://ejde.math.txstate.edu/Volumes/2023/86/abstr.html

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Global low-energy weak solutions for compressible magneto-micropolar fluids with discontinuous initial data in R^3

This article concerns the weak solutions of a 3D Cauchy problem of compressible magneto-micropolar fluids with discontinuous initial data. Under the assumption that the initial data are of small energy and the initial density is positive and essentially bounded, we establish the existence of weak solutions that are global-in-time. Moreover, we obtain the large-time behavior of such solutions. For moreinformation see https://ejde.math.txstate.edu/Volumes/2023/86/abstr.html

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