On the Rigorous Derivation of the 3D Cubic Nonlinear Schrödinger Equation with a Quadratic Trap

Derivation of the Cubic NLS and Gross–Pitaevskii Hierarchy from Manybody Dynamics in d = 3 Based on Spacetime Norms

(2013) Thomas Chen et al.   ANNALES HENRI POINCARE

Nonlinear Schrödinger equation with time dependent potential

(2013) Rémi Carles   Communications in Mathematical Sciences

Collapsing estimates and the rigorous derivation of the 2d cubic nonlinear Schrödinger equation with anisotropic switchable quadratic traps

(2012) Xuwen Chen   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Second-order corrections to mean field evolution of weakly interacting Bosons. II

(2011) M. Grillakis et al.   ADVANCES IN MATHEMATICS

Second Order Corrections to Mean Field Evolution for Weakly Interacting Bosons in The Case of Three-body Interactions

(2011) Xuwen Chen   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Energy conservation and blowup of solutions for focusing Gross–Pitaevskii hierarchies

(2010) Thomas Chen et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate

(2010) László Erdős et al.   ANNALS OF MATHEMATICS

On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies

(2010) Nataša Pavlović et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

The quintic NLS as the mean field limit of a boson gas with three-body interactions

(2010) Thomas Chen et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I.

(2009) Manoussos G. Grillakis et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential

(2009) László Erdős et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Observation of a 2D Bose Gas: From Thermal to Quasicondensate to Superfluid

(2009) P. Cladé et al.   PHYSICAL REVIEW LETTERS

On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy

(2008) Sergiu Klainerman et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM

(2008) MANOUSSOS G. GRILLAKIS et al.   Journal of Hyperbolic Differential Equations