57 citations · 152 across the 19 of their papers we have counts for
Showing 2014Show all
2 papers · 1 filter
math-ph2014★ 1 cited
Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve
Florian Méhats, Nicolas Raymond
This paper is devoted to the cubic nonlinear Schrödinger equation in a two dimensional waveguide with shrinking cross section of order . For a Cauchy data living essentially on…
math-ph2014★ 4 cited
Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
Weizhu Bao, Loic Le Treust, Florian Mehats
We study the problem of dimension reduction for the three dimensional Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate confined in a strongly anisotropic harmo…