Quasilinear theory of the 2D Euler equation

被引：45

作者：

Chavanis, PH ^{[1
]}

机构：

[1] Univ Toulouse 3, Phys Quant Lab, F-31062 Toulouse, France

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 84卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.84.5512

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a quasilinear theory of the 2D Euler equation and derive an integrodifferential equation for the evolution of the coarse-grained vorticity <(omega)over bar>(r, t). This equation respects all of the invariance properties of the Euler equation and conserves angular momentum in a circular domain and linens impulse in a channel. We show under which hypothesis we can derive an H theorem for the Fermi-Dirac entropy and make the connection with statistical theories of 2D turbulence.

引用

页码：5512 / 5515

页数：4

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