2D Voigt Boussinesq Equations

被引：0
|
作者：
Mihaela Ignatova
机构：
[1] Temple University,Department of Mathematics
来源：
Journal of Mathematical Fluid Mechanics | 2024年 / 26卷
关键词：
Boussinesq; Voigt regularization; Global existence; 35Q30; 35Q35; 35Q92;
D O I：
暂无
中图分类号：
学科分类号：
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.
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