S. Roudenko

activity

20062026

most citedA sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation

307 citations · 580 across the 47 of their papers we have counts for

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Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021

Higher dimensional generalization of the Benjamin-Ono equation: 2D case

Oscar Riaño, Svetlana Roudenko, Kai Yang

We consider a higher-dimensional version of the Benjamin-Ono (HBO) equation in the 2D setting: $u_{t} - R_{1} Δ u + \frac{1}{2} (u^{2})_{x} = 0, (x, y) \in R^{2}$ , which is $L^2…

math.AP2021

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 $2 d$ cubic and quintic focusing nonlinear Schrödinger equation in the exterior of a smooth, compact and strictly convex obstacle (a…