线性化无旋流可压缩Navier-Stokes方程解衰减估计的最优性

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2023-11-14 DOI:10.1007/s00021-023-00837-0

Tsukasa Iwabuchi, Dáithí Ó hAodha

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引用次数: 2

摘要

讨论了Besov范数下可压缩Navier-Stokes方程解的最优估计。特别地，我们考虑了在齐次情况下线性化方程解的无旋度部分的估计。我们证明我们的估计在\(L^\infty \) -范数中是最优的，通过表明范数由相同的衰减率从下面有界。

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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Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations

We discuss optimal estimates of solutions to the compressible Navier–Stokes equations in Besov norms. In particular, we consider the estimate of the curl-free part of the solution to the linearised equations, in the homogeneous case. We prove that our estimate is optimal in the \(L^\infty \)-norm by showing that the norm is bounded from below by the same decay rate.

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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.