Nonlinear Schrodinger equation

Monday, October 31, 2016 - 2:00pm - 2:50pm
Reika Fukuizumi (Tohoku University)
We will present in this talk a mathematical result concerning a
stochastic model used by physicist to describe Bose Einstein Condensation at finite
temperature. We will give a talk on the convergence to the Gibbs equilibrium, and
the global existence of solutions a.s. with respect to the Gibbs measure. This is a
joint work with Anne de Bouard (Ecole polytechnique, France) and Arnaud Debussche
(ENS Rennes, France).
Thursday, June 30, 2011 - 2:00pm - 2:30pm
Tuoc Phan (University of Tennessee)
Consider a nonlinear Schrodinger equation in R3 whose linear part has three or more eigenvalues satisfying some resonance conditions. Solutions which are initially small in H1 \ L1(R3) and inside a neighborhood of the first excited state family are shown to converge to either a first excited state or a ground state at time infinity. An essential part of our analysis is on the linear and nonlinear estimates near nonlinear excited
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