GENERAL WEAK TURBULENCE THEORY OF RESONANT 4-WAVE PROCESSES

被引：14

作者：

DAVIDSON, RC

机构：

[1] Department of Physics, University of California, Berkeley, CA

[2] Department of Physics and Astronomy, University of Maryland, College Park, MD

来源：

PHYSICS OF FLUIDS | 1969年 / 12卷 / 01期

关键词：

D O I：

10.1063/1.1692258

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The time evolution of wave correlations (cumulants) in a uniformly turbulent ensemble of weakly nonlinear, dispersive systems is discussed. With closure of the hierarchy for wave correlations appropriate to the inclusion of resonant four-wave processes, a kinetic equation for the spectral energy density of the waves is derived in situations where the resonant three-wave decay condition cannot be satisfied. The resulting kinetic equation is a nonlinear integrodifferential equation with driving terms trilinear in the energy density. Some general properties of this equation are discussed including associated conservation relations and the law of increase of entropy.

引用

页码：149 / &

共 17 条

[1]

Batchelor GK, 1956, THEORY HOMOGENEOUS T

[2] NONLINEAR INTERACTIONS OF RANDOM WAVES IN A DISPERSIVE MEDIUM [J].