3 citations · 3 across the 5 of their papers we have counts for
5 papers
The 3D critical Zakharov--Kuznetsov equation: blow-up and soliton dynamics
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We study the full three-dimensional dynamics of the -critical Zakharov-Kuznetsov equation with the fractional nonlinearity , equivalently for real-valued…
Spectral property for the 2D Zakharov-Kuznetsov equation
Justin Holmer, Svetlana Roudenko
We discuss a spectral property for the virial operator of the 2D Zakharov-Kuznetsov (ZK) equation. This is a crucial ingredient to establish blow-up or asymptotic stability of soli…
Multi-domain spectral approach for Zakharov-Kuznetsov equations in 3D with cylindrical symmetry
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We present a novel numerical framework for studying nonlinear dispersive equations in higher-dimensional settings, specifically designed for solutions featuring traveling waves alo…
The energy-critical stochastic nonlinear Schrödinger equation: well-posedness and blow-up
Annie Millet, Svetlana Roudenko
We investigate the focusing and defocusing energy-critical stochastic nonlinear Schrödinger equation, subject to random perturbations in the form of either additive or multiplicat…
Dynamics of solutions in the 1d bi-harmonic nonlinear Schrödinger equation
Christian Klein, Iryna Petrenko, Svetlana Roudenko +1
We consider the one dimensional 4th order, or bi-harmonic, nonlinear Schrödinger (NLS) equation, namely, , , and invest…