On a Shock Front in Burgers Turbulence |
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Authors: | Christophe Giraud |
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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 |
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Abstract: | We investigate how chaos propagates in the solution of Burgers equation
t
u+u
x
u=0 with initial condition u(,0) distributed as a white noise on
and 0 on
. We describe the evolution of the shock front that travels to the left. Asymptotics are given for both large and small time t. |
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Keywords: | Burgers turbulence sticky particles shock front |
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