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A note on the forced Burgers equation

S. Eule·R. Friedrich
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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.

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S. Eule, R. Friedrich. 2005-09-05. A note on the forced Burgers equation. https://doi.org/10.1016/j.physleta.2005.11.019

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