Local-in-Time Existence of Strong Solutions to a Class of Compressible Power-Law Flows

IF 1.5 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2026-09-29 DOI:10.1007/s00021-026-01058-x

Fang Li, Chang Mengge, Guo Zhenhua

引用次数: 0

Abstract

We consider a model of the compressible non-Newtonian fluids for power-law flow fulfilling a periodic domain in \({\mathbb R}^3,\) in which the extra stress tensor is induced by a potential with p(t, x)-structure. The local-in-time existence and uniqueness of strong solutions is proved for all \(\frac{7}{5} < \inf p(t,x) \leqslant \sup p(t,x) \leqslant 2.\) Further, two improved blow-up criterions for the obtained strong solution is given.

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一类可压缩幂律流强解的局部存在性

我们考虑幂律流的可压缩非牛顿流体模型，满足\({\mathbb R}^3,\)中的周期域，其中额外的应力张量由具有p（t, x）结构的势诱导。证明了所有强解的局部存在唯一性\(\frac{7}{5} < \inf p(t,x) \leqslant \sup p(t,x) \leqslant 2.\)并进一步给出了两个改进的强解爆破判据。

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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.