A New Blowup Criterion to the Cauchy Problem for the Three-Dimensional Compressible Viscous Micropolar Fluids with Vacuum

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-04-04 DOI:10.1007/s10440-024-00642-5

Xiaofeng Hou, Yinjie Xu

引用次数: 0

Abstract

In this paper, we prove a new blowup criterion for the strong solution to the Cauchy problem of three-dimensional micropolar fluid equation with vacuum. Specifically, we establish a blowup criterion in terms of \(L_{t}^{\infty }L_{x}^{q}\) of the density, where \(1< q<\infty \), and it is independent on the velocity of rotation of the microscopic particles.

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带真空的三维可压缩粘性微极性流体考奇问题的新吹胀准则

在本文中，我们证明了三维微波流体方程与真空的 Cauchy 问题强解的新炸毁准则。具体来说，我们用密度的 \(L_{t}^{\infty }L_{x}^{q}\) 建立了一个炸毁判据，其中 \(1< q<\infty \) 与微观粒子的旋转速度无关。

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

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.