具有边界的双极Navier-Stokes-Poisson系统的非线性稳定性

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Mathematical Physics Pub Date : 2023-02-08 DOI:10.1155/2023/2461834

Tiantian Yu, Yong Li

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引用次数: 0

摘要

通过建立近似解的非线性稳定性，严格证明了具有边界的双极Navier-Stokes Poisson系统的拟中性和零粘性的组合极限。基于共形能量估计，我们证明了只要边界层的振幅足够小，原始系统的解在H3空间中就强收敛于单流体可压缩Euler系统的解。

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Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary

The combined quasineutral and zero-viscosity limits of the bipolar Navier-Stokes-Poisson system with boundary are rigorously proved by establishing the nonlinear stability of the approximate solutions. Based on the conormal energy estimates, we showed that the solutions for the original system converge strongly in H 3 space towards the solutions of the one-fluid compressible Euler system as long as the amplitude of the boundary layers is small enough.

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来源期刊

Advances in Mathematical Physics 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

151

审稿时长

>12 weeks

期刊介绍： Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.