Levy solutions of a randomly forced Burgers equation
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Statistical Physics. 2009, vol. 136, p. 1095
Springer Verlag
Resumen en inglés
We 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 $2E(f(x,t)f(y,s)) = (|x|+|y|-|x-y|)\delta(t-s)$ and we show that ...Leer más >
We 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 $2E(f(x,t)f(y,s)) = (|x|+|y|-|x-y|)\delta(t-s)$ 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 $u_0(x)=0$.< Leer menos
Palabras clave en inglés
Burgers equation
Levy process
random forcing
Orígen
Importado de HalCentros de investigación