14 citations · 36 across the 10 of their papers we have counts for
11 papers
The stochastic primitive equations with non-isothermal turbulent pressure
Antonio Agresti, Matthias Hieber, Amru Hussein +1
In this paper, we introduce and study the primitive equations with -isothermal turbulent pressure and transport noise. They are derived from the Navier-Stokes equatio…
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…
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…
The stochastic primitive equations with transport noise and turbulent pressure
Antonio Agresti, Matthias Hieber, Amru Hussein +1
In this paper we consider the stochastic primitive equation for geophysical flows subject to transport noise and turbulent pressure. Admitting very rough noise terms, the global ex…
The primitive equations with stochastic wind driven boundary conditions
Tim Binz, Matthias Hieber, Amru Hussein +1
The primitive equations for geophysical flows are studied under the influence of {\em stochastic wind driven boundary conditions} modeled by a cylindrical Wiener process. We adapt…
Global Strong Well-Posedness of the stochastic bidomain equations with FitzHugh-Nagumo transport
Matthias Hieber, Amru Hussein, Martin Saal
Consider the bidomain equations from electrophysiology with FitzHugh--Nagumo transport subject to current noise, i.e., subject to stochastic forcing modeled by a cylindrical Wiener…
Regularization by noise for the point vortex model of mSQG equations
Dejun Luo, Martin Saal
We consider the point vortex model corresponding to the modified Surface Quasi-Geostrophic (mSQG) equations on the two dimensional torus. It is known that this model is well posed…
Primitive Equations with Horizontal Viscosity: The Initial Value and the Time-Periodic Problem for Physical Boundary Conditions
Amru Hussein, Martin Saal, Marc Wrona
The 3D-primitive equations with only horizontal viscosity are considered on a cylindrical domain , smooth, with the physical Dirichlet bo…
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…
Primitive Equations with half horizontal viscosity
Martin Saal
We consider the primitive equations and show, that one does need less than horizontal viscosity to obtain a well-posedness result in Sobolev spaces. Furthermore, we will also…
Primitive Equations with Linearly Growing Initial Data
Amru Hussein, Martin Saal, Okihiro Sawada
The primitive equations in a 3D infinite layer domain are considered with linearly growing initial data in the horizontal direction, which illustrates the global atmospheric rotati…