Generalized Burgers equation with rough transport noise
A talk in the Bielefeld Stochastic Afternoon series by Wilhelm Stannat from TU Berlin
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.
The talk is based on joint work with Antoine Hocquet and Torstein Nilssen (see arXiv-Preprint 1804.01335).
Within the CRC this talk is associated to the project(s): A5, B1, B2