具有非零旋流的三维轴对称Boussinesq方程的正则性准则

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI:10.1063/5.0125404

Peng Wang, Zhengguang Guo

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引用次数: 0

摘要

本文建立了不可压缩轴对称Boussinesq方程弱解的一个新的正则性判据。更准确地说，我们证明了对于一个小的ε > 0，如果速度场的角分量uθ(t, r, z)满足与初始数据无关的sup0，那么三维Boussinesq方程的弱解(u， ρ)在(0,t)中是正则的。

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A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl

In this paper, we are devoted to establishing a new regularity criterion of weak solutions to incompressible axisymmetric Boussinesq equations. More precisely, we prove that for a small ϵ > 0, if the angular component of velocity field uθ(t, r, z) satisfies sup0 0, which is independent of the initial data, then the weak solution (u, ρ) to 3D Boussinesq equations is regular in (0, T].

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.