On the Lagrangian Dynamics for the 3D Incompressible Euler Equations

被引：0
|
作者：
Dongho Chae
机构：
[1] Sungkyunkwan University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2007年 / 269卷
关键词：
Vorticity; Euler Equation; Particle Trajectory; Besov Space; Sobolev Inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study the dynamical behaviors along the particle trajectories for some quantities of the 3D inviscid incompressible fluids. We construct evolution equations satisfied by scalar quantities composed of spectrum of the deformation tensor, the hessian of the pressure and the direction field of the vorticity, and study the dichotomy between the finite time singularity and the long time behaviors of the various scalar quantities.
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页码：557 / 569
页数：12
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