Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2024-02-19 DOI:10.1007/s00021-024-00855-6

NanNan Yang

引用次数: 0

Abstract

Motivated by Lu and Zhang (J Differ Equ 376:406–468, 2023), we prove the global existence of solutions to the three-dimensional isentropic compressible Navier–Stokes equations with smooth initial data slowly varying in two directions. In such a setting, the \(L^2\)-norms of the initial data are of order \(O(\varepsilon ^{-1})\), which are large.

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具有两个慢变量的三维等熵可压缩纳维-斯托克斯方程的全局解决方案

受 Lu 和 Zhang (J Differ Equ 376:406-468, 2023) 的启发，我们证明了光滑初始数据在两个方向上缓慢变化的三维等熵可压缩纳维-斯托克斯方程解的全局存在性。在这种情况下，初始数据的 \(L^2\)-norms 为 \(O(\varepsilon ^{-1})\)阶，是很大的。

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.