三维有界区域中具有滑移边界条件的可压缩Navier-Stokes-Poisson方程的全局解

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2025-03-19 DOI:10.1007/s00021-025-00932-4

WenXue Wu

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引用次数: 0

摘要

本文研究了三维有界区域中速度允许滑移边界条件下，具有大而非平坦掺杂剖面的可压缩Navier-Stokes-Poisson方程的初边值问题。利用能量估计，建立了可压缩NSP的强解和稳态附近光滑解的整体存在性。特别是，一个重要的特点是，稳态（除了速度）和掺杂分布被允许是大的。

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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Global Solutions to the Compressible Navier–Stokes-Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains

This paper concerns the initial-boundary-value problem of the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile in 3D bounded domain, where the velocity admits slip boundary condition. The global existence of strong solutions and smooth solutions near a steady state for compressible NSP are established by using the energy estimates. In particular, an important feature is that the steady state (except velocity) and the doping profile are allowed to be large.

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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.