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math.AP2015
The quantum Liouville-BGK equation and the moment problem
Florian Méhats, Olivier Pinaud
This work is devoted to the analysis of the quantum Liouville-BGK equation. This equation arises in the work of Degond and Ringhofer on the derivation of quantum hydrodynamical mod…
math.AP2015
Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime
Weizhu Bao, Loïc Le Treust, Florian Méhats
We study dimension reduction for the three-dimensional Gross-Pitaevskii equation with a long-range and anisotropic dipole-dipole interaction modeling dipolar Bose-Einstein condensa…