10 citations · 10 across the 8 of their papers we have counts for
8 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 that…
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 analogue…
Interaction with an obstacle in the 2d focusing nonlinear Schrödinger equation
Oussama Landoulsi, Svetlana Roudenko, Kai Yang
We present a numerical study of solutions to the cubic and quintic focusing nonlinear Schrödinger equation in the exterior of a smooth, compact and strictly convex obstacle (a…
On Blow-up solutions to the nonlinear Schrödinger equation in the exterior of a convex obstacle
Oussama Landoulsi
In this paper, we consider the Schrödinger equation with a mass-supercritical focusing nonlinearity, in the exterior of a smooth, compact, convex obstacle of with Dirichle…
Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle
Thomas Duyckaerts, Oussama Landoulsi, Svetlana Roudenko
We study the dynamics of the focusing cubic nonlinear Schrödinger equation in the exterior of a strictly convex obstacle at the mass-energy threshold, namely, when $ E_Ω[u_0]…
Construction of solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle for the -supercritical case
Oussama Landoulsi
We consider the focusing -supercritical Schrödinger equation in the exterior of a smooth, compact, strictly convex obstacle. We construct a solution behaving asymptotically as…