# Levy solutions of a randomly forced Burgers equation - Condensed Matter > Statistical Mechanics

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Abstract: We consider the one dimensional Burgers equation forced by a brownian inspace and white noise in time process $\partial t u + u \partial x u = fx,t$,with $2Efx,tfy,s = |x|+|y|-|x-y|\deltat-s$ and we show that there areLevy processes solutions, for which we give the evolution equation of thecharacteristic exponent. In particular we give the explicit solution in thecase $u 0x=0$.

Autor: Marie-Line Chabanol, Jean Duchon

Fuente: https://arxiv.org/