79 citations · 237 across the 9 of their papers we have counts for
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Global Well-Posedness and Persistence of H2 Regularity for the Three-Dimensional Primitive Equations with Horizontal and Topography-Adapted Thermal Diffusion
Qimin Wang, Mohammed Ziane
We study the three-dimensional primitive equations with full viscosity and horizontal thermal diffusion in bounded domains. We establish global well-posedness for admissible …
On Asymptotic Properties of the Boussinesq Equations
Mustafa Sencer Aydın, Igor Kukavica, Mohammed Ziane
We address the long time behavior of the Boussinesq system coupling the Navier-Stokes equations driven by density with the non-diffusive equation for the density. We construct solu…
Asymptotic properties of the Boussinesq Equations with Dirichlet Boundary Conditions
Igor Kukavica, David Massatt, Mohammed Ziane
We address the asymptotic properties for the Boussinesq equations with vanishing thermal diffusivity in a bounded domain with no-slip boundary conditions. We show the dissipation o…
On the Galerkin approximation and strong norm bounds for the stochastic Navier-Stokes equations with multiplicative noise
Igor Kukavica, Kerem Ugurlu, Mohammed Ziane
We investigate the convergence of the Galerkin approximation for the stochastic Navier-Stokes equations in an open bounded domain with the non-slip boundary condition…
Existence of invariant measures for the stochastic damped Schrödinger equation
Ibrahim Ekren, Igor Kukavica, Mohammed Ziane
In this paper, we address the long time behaviour of solutions of the stochastic Schrodinger equation in . We prove the existence of an invariant measure and establis…
Existence of invariant measures for the stochastic damped KdV equation
Ibrahim Ekren, Igor Kukavica, Mohammed Ziane
We address the long time behavior of solutions of the stochastic Korteweg-de Vries equation on where is…