Universality Classes in Burgers Turbulence |
| |
| Authors: | Govind Menon Robert L Pego |
| |
| Institution: | (1) Division of Applied Mathematics, Brown University, Providence, RI 02912, USA;(2) Center for Nonlinear Analysis, Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890, USA |
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
