Exploració per tema "Nonlinear Schrödinger equation"
Ara es mostren els items 1-3 de 3
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A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation
(2019-01-01)
Article
Accés restringit per política de l'editorialWe present the recent result in [29] concerning strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap solutions of the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional ... -
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation
(2022-03-03)
Article
Accés obertWe consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori called finite-gap solutions. These are ... -
Transfer of energy in the nonlinear Schrödinger equationon
(Universitat Politècnica de Catalunya, 2011-06)
Projecte Final de Màster Oficial
Accés obertThis work aims to use tools of Dynamical Systems to prove that the nonlinear Schr odinger equation presents a global instability. To do that, we rst reduce this PDE to a system of ODE's of dimension N which we call the ...