2D Voigt Boussinesq Equations

被引：2

作者：

Ignatova, Mihaela ^{[1
]}

机构：

[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2024年 / 26卷 / 01期

基金：

美国国家科学基金会;

关键词：

Boussinesq; Voigt regularization; Global existence; GLOBAL WELL-POSEDNESS; REGULARITY; EULER; SYSTEM;

D O I：

10.1007/s00021-023-00849-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a critical conservative Voigt regularization of the 2D incompressible Boussinesq system on the torus. We prove the existence and uniqueness of global smooth solutions and their convergence in the smooth regime to the Boussinesq solution when the regularizations are removed. We also consider a range of mixed (subcritical-supercritical) Voigt regularizations for which we prove the existence of global smooth solutions.

引用

页数：9

共 28 条

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