Levy solutions of a randomly forced Burgers equation

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dc.creatorChabanol, Marie-Line
dc.creatorDuchon, Jean
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:07:13Z
dc.date.available2026-07-07T13:07:13Z
dc.descriptionWe consider the one dimensional Burgers equation forced by a brownian in space and white noise in time process $\partial_t u + u \partial_x u = f(x,t)$, with $2E(f(x,t)f(y,s)) = (|x|+|y|-|x-y|)δ(t-s)$ and we show that there are Levy processes solutions, for which we give the evolution equation of the characteristic exponent. In particular we give the explicit solution in the case $u_0(x)=0$.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0904.3397
dc.identifierhttp://arxiv.org/abs/0904.3397
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228021
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.subjectFluid Dynamics
dc.titleLevy solutions of a randomly forced Burgers equation
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