Generalized Burgers equation with rough transport noise
arXiv:1804.01335 · doi:10.1016/j.spa.2019.06.014
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.