Zobrazeno 1 - 10
of 403
pro vyhledávání: '"Roudenko A"'
Autor:
Valérie Briois, Jean Paul Itié, Alain Polian, Andrew King, Aliou Sadia Traore, Eric Marceau, Ovidiu Ersen, Camille La Fontaine, Laurent Barthe, Anthony Beauvois, Olga Roudenko, Stéphanie Belin
Publikováno v:
Journal of Synchrotron Radiation, Vol 31, Iss 5, Pp 1084-1104 (2024)
Full-field transmission X-ray microscopy has been recently implemented at the hard X-ray ROCK–SOLEIL quick-EXAFS beamline, adding micrometre spatial resolution to the second time resolution characterizing the beamline. Benefiting from a beam size v
Externí odkaz:
https://doaj.org/article/5f4760b9d56d4404918ced7e8ad31a80
Stability and instability of solitary waves in fractional generalized KdV equation in all dimensions
Autor:
Riaño, Oscar, Roudenko, Svetlana
We study stability of solitary wave solutions for the fractional generalized Korteweg-de Vries equation $$ \partial_t u- \partial_{x_1} D^{\alpha}u+ \tfrac{1}{m}\partial_{x_1}(u^m)=0, ~ (x_1,\dots,x_d)\in \mathbb{R}^d, \, \, t\in \mathbb{R}, \, \, 0<
Externí odkaz:
http://arxiv.org/abs/2210.09159
Autor:
Arora, Anudeep K., Roudenko, Svetlana
We consider the focusing $5$d Hartree equation, which is $L^2$-supercritical, with finite energy initial data, and investigate the solutions at the mass-energy threshold. We establish the existence of special solutions following the work of Duyckaert
Externí odkaz:
http://arxiv.org/abs/2210.07344
We consider two types of the generalized Korteweg - de Vries equation, where the nonlinearity is given with or without absolute values, and, in particular, including the low powers of nonlinearity, an example of which is the Schamel equation. We firs
Externí odkaz:
http://arxiv.org/abs/2202.01130
We consider a higher-dimensional version of the Benjamin-Ono (HBO) equation in the 2D setting: $u_t- \mathcal{R}_1 \Delta u + \frac{1}{2}(u^2)_x=0, (x,y) \in \mathbb{R}^2$, which is $L^2$-critical, and investigate properties of solutions both analyti
Externí odkaz:
http://arxiv.org/abs/2103.15794
We present a numerical study of solutions to the $2d$ cubic and quintic focusing nonlinear Schr\"odinger equation in the exterior of a smooth, compact and strictly convex obstacle (a disk) with Dirichlet boundary condition. We first investigate the e
Externí odkaz:
http://arxiv.org/abs/2102.02170
We investigate the well-posedness in the generalized Hartree equation $iu_t + \Delta u + (|x|^{-(N-\gamma)} \ast |u|^p)|u|^{p-2}u=0$, $x \in \mathbb{R}^N$, $0<\gamma
Externí odkaz:
http://arxiv.org/abs/2012.15246
We present a detailed numerical study of solutions to the Zakharov-Kuznetsov equation in three spatial dimensions. The equation is a three-dimensional generalization of the Korteweg-de Vries equation, though, not completely integrable. This equation
Externí odkaz:
http://arxiv.org/abs/2012.15225
We consider the generalized Benjamin-Ono (gBO) equation on the real line, $ u_t + \partial_x (-\mathcal H u_{x} + \tfrac1{m} u^m) = 0, x \in \mathbb R, m = 2,3,4,5$, and perform numerical study of its solutions. We first compute the ground state solu
Externí odkaz:
http://arxiv.org/abs/2012.03336
We study the focusing NLS equation in $\mathbb{R}^N$ in the mass-supercritical and energy-subcritical (or intercritical) regime, with $H^1$ data at the mass-energy threshold $ \mathcal{ME}(u_0)=\mathcal{ME}(Q)$, where $Q$ is the ground state. Previou
Externí odkaz:
http://arxiv.org/abs/2010.14434