Universality Classes in Burgers Turbulence

被引：0
|
作者：
Govind Menon
Robert L. Pego
机构：
[1] Brown University,Division of Applied Mathematics
[2] Carnegie Mellon University,Center for Nonlinear Analysis, Department of Mathematical Sciences
来源：
Communications in Mathematical Physics | 2007年 / 273卷
关键词：
Burger Equation; Universality Class; Multifractal Spectrum; Compound Poisson Process; Laplace Spectrum;
D O I：
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中图分类号：
学科分类号：
摘要：
We establish necessary and sufficient conditions for the shock statistics to approach self-similar form in Burgers turbulence with Lévy process initial data. The proof relies upon an elegant closure theorem of Bertoin and Carraro and Duchon that reduces the study of shock statistics to Smoluchowski’s coagulation equation with additive kernel, and upon our previous characterization of the domains of attraction of self-similar solutions for this equation.
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页码：177 / 202
页数：25
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