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Generalized Burgers equation with rough transport noise

Antoine Hocquet, Torstein Nilssen and Wilhelm Stannat

Stochastic Processes and their Applications, 2020, vol. 130, issue 4, 2159-2184

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.

Keywords: Rough paths; Stochastic PDEs; Burgers equation; Variational method (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spa.2019.06.014

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