三维有界域中带有滑动边界条件的可压缩纳维-斯托克斯-泊松方程经典解的全局良好假设性

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED Journal of Mathematical Fluid Mechanics Pub Date : 2024-05-02 DOI:10.1007/s00021-024-00875-2

Yazhou Chen, Bin Huang, Xiaoding Shi

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引用次数: 0

摘要

我们考虑了等熵可压缩 Navier-Stokes-Poisson 方程的初始边界值问题，该方程在具有滑移边界条件和真空的三维有界域中受到大量非平坦掺杂剖面的影响。在初始能量较小但可能存在较大振荡和真空的情况下，经典解的全局拟合性得以确定。允许稳态（速度除外）和掺杂剖面有较大变化。

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

We consider the initial-boundary-value problem of the isentropic compressible Navier–Stokes–Poisson equations subject to large and non-flat doping profile in 3D bounded domain with slip boundary condition and vacuum. The global well-posedness of classical solution is established with small initial energy but possibly large oscillations and vacuum. The steady state (except velocity) and the doping profile are allowed to be of large variation.

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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.