Projects
Reading
People
Chat
SU\G
(𝔸)
/K·U
Projects
Reading
People
Chat
Sign Up
Sign In
Light
Dark
System
Sobolev stability of plane wave solutions to the cubic nonlinear Schr\"odinger equation on a torus
Erwan Faou
,
Ludwig J. Gauckler
,
Christian Lubich
Type:
Preprint
Publication Date:
2011-09-12
Citations:
9
View Publication
Share
Locations
arXiv (Cornell University) -
View
Similar Works
Action
Title
Year
Authors
+
Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus
2011
Erwan Faou
Ludwig J. Gauckler
Christian Lubich
+
PDF
Chat
Sobolev Stability of Plane Wave Solutions to the Cubic Nonlinear Schrödinger Equation on a Torus
2013
Erwan Faou
Ludwig J. Gauckler
Christian Lubich
+
Plane wave stability of the split-step Fourier method for the nonlinear Schrödinger equation
2013
Erwan Faou
Ludwig J. Gauckler
Christian Lubich
+
Plane wave stability of the split-step Fourier method for the nonlinear Schr\"odinger equation
2013
Erwan Faou
Ludwig J. Gauckler
Christian Lubich
+
PDF
Chat
PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION
2014
Erwan Faou
Ludwig J. Gauckler
Christian Lubich
+
Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations
2012
Zaher Hani
+
Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schr\"odinger equations
2012
Zaher Hani
+
Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori
2018
Gigliola Staffilani
Bobby L. Wilson
+
Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori
2018
Gigliola Staffilani
Bobby Wilson
+
PDF
Chat
Stability of the Cubic Nonlinear Schrodinger Equation on an Irrational Torus
2020
Gigliola Staffilani
Bobby Wilson
+
Long time stability of small finite gap solutions of the cubic nonlinear Schrödinger equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">T</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>
2018
Alberto Maspero
Michela Procesi
+
Long time stability of plane wave solutions to Schrödinger equation on Torus
2020
Lufang Mi
Yingte Sun
Peizhen Wang
+
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation
2018
Marcel Guàrdia
Zaher Hani
Emanuele Haus
Alberto Maspero
Michela Procesi
+
Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrodinger Equation
2014
Bobby L. Wilson
+
Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrodinger Equation
2014
Bobby Wilson
+
PDF
Chat
Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrödinger Equation
2015
Bobby Wilson
+
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation
2022
Marcel Guàrdia
Zaher Hani
Emanuele Haus
Alberto Maspero
Michela Procesi
+
PDF
Chat
Numerical long-time energy conservation for the nonlinear Schrödinger equation
2016
Ludwig J. Gauckler
+
PDF
Chat
Reducibility for a linear wave equation with Sobolev smooth fast-driven potential
2023
Luca Franzoi
+
WELL-POSEDNESS FOR THE CUBIC NONLINEAR SCHRÖDINGER EQUATIONS ON TORI
2018
Haitian Yue
Works That Cite This (8)
Action
Title
Year
Authors
+
Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrodinger Equation
2014
Bobby Wilson
+
Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schr\"odinger equations
2012
Zaher Hani
+
PDF
Chat
Orbital Stability: Analysis Meets Geometry
2015
Stephan De Bièvre
François Genoud
Simona Rota Nodari
+
Modulated Fourier Expansions for Continuous and Discrete Oscillatory Systems
2012
Ernst Hairer
Ch. Lubich
+
Long time behavior of the solutions of NLW on the d-dimensional torus
2019
Joackim Bernier
Erwan Faou
Benoît Grébert
+
PDF
Chat
On the nonlinear stability of asymptotically anti-de Sitter solutions
2012
Óscar J. C. Dias
Gary T. Horowitz
Donald Marolf
Jorge E. Santos
+
Sobelev Stability of Plane Wave Solutions to the Nonlinear Schrodinger
2014
Bobby Wilson
+
Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation.
2021
Weizhu Bao
Yongyong Cai
Yue Feng
Works Cited by This (22)
Action
Title
Year
Authors
+
Global and dynamical aspects of nonlinear Schrodinger equations on compact manifolds
2011
Zaher Hani
+
Ill-posedness for nonlinear Schrodinger and wave equations
2003
Michael Christ
J. Colliander
Terence Tao
+
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
2009
Ernst Hairer
Christian Lubich
Gerhard Wanner
+
Instability of the periodic nonlinear Schrodinger equation
2003
Michael Christ
J. Colliander
Terence Tao
+
Problems in Hamiltonian PDE’S
2010
Jean Bourgain
+
Stability of small periodic waves for the nonlinear Schrödinger equation
2006
Thierry Gallay
Mariana Hărăguş
+
PDF
Chat
Orbital stability of periodic waves for the nonlinear Schrödinger equation
2007
Thierry Gallay
Mariana Hărăguş
+
PDF
Chat
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
2015
Marcel Guàrdia
V. A. Kaloshin
+
PDF
Chat
Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions
2007
David Cohen
Ernst Hairer
Christian Lubich
+
Orbital stability of standing waves for some nonlinear Schr�dinger equations
1982
Thierry Cazenave
Pierre‐Louis Lions