可压缩流体-粒子相互作用系统剪切粘度消失极限的最佳收敛速率

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-11-12 DOI:10.1016/j.jde.2024.10.033

Bingyuan Huang , Yingshan Chen , Limei Zhu

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引用次数: 0

摘要

我们考虑了具有圆柱对称性的可压缩流体-粒子相互作用系统的初始边界值问题。我们推导了显式普朗特边界层方程，并证明了当剪切粘度 μ=κρβ 变为零时，边界层剖面的全局时间稳定性和最佳收敛速率，而无需对初始数据和边界数据做任何微小性假设。

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Optimal convergence rate of the vanishing shear viscosity limit for a compressible fluid-particle interaction system

We consider the initial boundary value problem for the compressible fluid-particle interaction system with cylindrical symmetry. We derive explicit Prandtl type boundary layer equations and prove the global in time stability of the boundary layer profile together with the optimal convergence rate when the shear viscosity

μ = κ ρ^{β}

goes to zero without any smallness assumption on the initial and boundary data.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics