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Nonlinear Sciences > Adaptation and Self-Organizing Systems

arXiv:nlin/0607007 (nlin)
[Submitted on 6 Jul 2006]

Title:Universality classes in Burgers turbulence

Authors:Govind Menon, Robert L. Pego
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Abstract: 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.
Subjects: Adaptation and Self-Organizing Systems (nlin.AO)
Cite as: arXiv:nlin/0607007 [nlin.AO]
  (or arXiv:nlin/0607007v1 [nlin.AO] for this version)
  https://doi.org/10.48550/arXiv.nlin/0607007
Journal reference: Comm. Math. Phys. 273 (2007), 177-202
Related DOI: https://doi.org/10.1007/s00220-007-0251-1

Submission history

From: Govind Menon [view email]
[v1] Thu, 6 Jul 2006 16:24:55 UTC (34 KB)
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