A note on the forced Burgers equation

Details A note on the forced Burgers equation A note on the forced Burgers equation

2005-09-05

arxiv.org/abs/nlin/0509006v1

Nonlinear Sciences

Chaotic Dynamics

10 pages

Scientific paper

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.

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