4 papers
Continuous data assimilation for 2D stochastic Navier-Stokes equations
Hakima Bessaih, Benedetta Ferrario, Oussama Landoulsi +1
Continuous data assimilation methods, such as the nudging algorithm introduced by Azouani, Olson, and Titi (AOT) [2], are known to be highly effective in deterministic settings for…
The distorted Fourier transform for the linearized Gross-Pitaevskii equation in the Hyperbolic plane
Oussama Landoulsi, Sohrab Shahshahani
Motivated by the stability problem for Ginzburg-Landau vortices on the hyperbolic plane, we develop the distorted Fourier transform for a general class of radial non-self-adjoint m…
Construction of multi-solitary waves solution to the focusing nonlinear Schrödinger equation outside an obstacle in the -subcritical case
Oussama Landoulsi
We consider the focusing -subcritical Schrödinger equation in the exterior of a smooth, compact, strictly convex obstacle . We construct a solution th…
Equivariant stability of vortices in Manton's Chern-Simons-Schrödinger system on the hyperbolic plane
Oussama Landoulsi, Sohrab Shahshahani
In this work we study magnetic vortices on the hyperbolic plane for a Chern-Simons-Schrödinger system introduced by Manton. The model can be thought of as the Schrödinger analogu…