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On a Shock Front in Burgers Turbulence
Authors:Christophe Giraud
Institution:(1) Laboratoire J. A. Dieudonné, Université de Nice Sophia-Antipolis, et C.N.R.S. UMR 6621, Parc Valrose, F-06108 NICE Cedex 2, France
Abstract:We investigate how chaos propagates in the solution of Burgers equation part t u+upart x u=0 with initial condition u(cdot,0) distributed as a white noise on 
$$\mathbb{R}^ + $$
and 0 on 
$$\mathbb{R}^ - $$
. We describe the evolution of the shock front that travels to the left. Asymptotics are given for both large and small time t.
Keywords:Burgers turbulence  sticky particles  shock front
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