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math.PR2021
Surface Quasi-Geostrophic Equation driven by Space-Time White Noise
Philipp Forstner, Martin Saal
We consider the Surface Quasi-Geostrophic equation (SQG) driven by space-time white noise and show the existence of a local in time solution by applying the theory of regularity st…
math.PR2021★ 1 cited
Stochastic Primitive Equations with Horizontal Viscosity and Diffusivity
Martin Saal, Jakub Slavík
We establish the existence and uniqueness of pathwise strong solutions to the stochastic 3D primitive equations with only horizontal viscosity and diffusivity driven by transport n…
math.PR2018
mSQG equations in distributional spaces and point vortex approximation
Franco Flandoli, Martin Saal
Existence of distributional solutions of a modified Surface Quasi-Geostrophic equation (mSQG) is proven for -almost every initial condition, where is a suitable Gaussian mea…