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Publication 06-CNA-06
Universality Classes in Burgers Turbulence Govind Menon and Robert L. Pego Abstract: We establish necessary and sufficient conditions for the shock statistics to approach self-similar form in Burgers turbulence with Levy 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. Get the paper in its entirety as 06-CNA-006.pdf |
