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arXiv · 1606.07763

Mixing for the Burgers equation driven by a localised two-dimensional stochastic forcing

Armen Shirikyan
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Abstract

We consider the one-dimensional Burgers equation perturbed by a stochastic forcing, which is assumed to be white in time and localised and low-dimensional in space. We establish a mixing property for the Markov process associated with the problem in question. The proof is based on a general criterion for mixing and a recent result on global approximate controllability to trajectories for damped conservation laws.

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Armen Shirikyan. 2016-06-24. Mixing for the Burgers equation driven by a localised two-dimensional stochastic forcing. https://arxiv.org/abs/1606.07763

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