On Some Model Equations of Euler and Navier-Stokes Equations

被引：0
作者：
Dapeng Du
机构：
[1] Northeast Normal University,Department of Mathematics and statistics
来源：
Chinese Annals of Mathematics, Series B | 2021年 / 42卷
关键词：
Euler equations; Navier-Stokes equations; Singular solutions; Turbulence; 35B65; 76B03; 76D03; 76F02;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The author proposes a two-dimensional generalization of Constantin-Lax-Majda model. Some results about singular solutions are given. This model might be the first step toward the singular solutions of the Euler equations. Along the same line (vorticity formulation), the author presents some further model equations. He possibly models various aspects of difficulties related with the singular solutions of the Euler and Navier-Stokes equations. Some discussions on the possible connection between turbulence and the singular solutions of the Navier-Stokes equations are made.
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页码：281 / 290
页数：9
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