Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows

被引：0

作者：

Xin Liu

Edriss S. Titi

机构：

[1] Freie Universität Berlin,Institut für Mathematik

[2] Texas A&M University,Department of Mathematics

[3] University of Cambridge,Department of Applied Mathematics and Theoretical Physics

[4] Weizmann Institute of Science,Department of Computer Science and Applied Mathematics

来源：

Journal of Mathematical Fluid Mechanics | 2020年 / 22卷

关键词：

Anelastic approximation; Well-posedness; Physical vacuum; Stratified flows; 35Q30; 35Q86; 76D03; 76D05;

D O I：

暂无

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学科分类号：

摘要：

We establish the local and global well-posedness of strong solutions to the two- and three-dimensional anelastic equations of stratified viscous flows. In this model, the interaction of the density profile with the velocity field is taken into account, and the density background profile is permitted to have physical vacuum singularity. The existing time of the solutions is infinite in two dimensions, with general initial data, and in three dimensions with small initial data.

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