A note on the forced Burgers equation
Chaotic Dynamics
2015-06-26 v1
Abstract
We obtain the exact solution for the Burgers equation with a time dependent forcing, which depends linearly on the spatial coordinate. For the case of a stochastic time dependence an exact expression for the joint probability distribution for the velocity fields at multiple spatial points is obtained. A connection with stretched vortices in hydrodynamic flows is discussed.
Cite
@article{arxiv.nlin/0509006,
title = {A note on the forced Burgers equation},
author = {S. Eule and R. Friedrich},
journal= {arXiv preprint arXiv:nlin/0509006},
year = {2015}
}
Comments
10 pages