The Surface Quasi-geostrophic Equation With Random Diffusion

Buckmaster, TristanNahmod, AndreaStaffilani, GigliolaWidmayer, Klaus2021-03-262021-03-262021-03-262020-11-0110.1093/imrn/rny261https://infoscience.epfl.ch/handle/20.500.14299/176662WOS:000605099500010Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem satisfying a Gevrey type bound. This article is inspired by a recent work of Glatt-Holtz and Vicol [16].Mathematicsnonlinear schrodinger-equationglobal well-posednesseuler equationsweak solutionsexistenceregularitynoiseThe Surface Quasi-geostrophic Equation With Random Diffusiontext::journal::journal article::research article