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arXiv · 1804.01335

Generalized Burgers equation with rough transport noise

Antoine Hocquet·Torstein Nilssen·Wilhelm Stannat
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Abstract

We introduce a new technique for studying well posedness and energy estimates for evolution equations with a rough transport term. The technique is based on finding suitable space-time weight functions for the equations at hand. As an example we study the well posedness of the generalized viscous Burgers equation perturbed by a rough path transport noise.

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Antoine Hocquet, Torstein Nilssen, Wilhelm Stannat. 2018-04-04. Generalized Burgers equation with rough transport noise. https://doi.org/10.1016/j.spa.2019.06.014

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