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math.AP2015
Nonlinear stability criteria for the HMF Model
Mohammed Lemou, Ana Maria Luz, Florian Mehats
We study the nonlinear stability of a large class of inhomogeneous steady state solutions to the Hamiltonian Mean Field (HMF) model. Under a simple criterion, we prove the nonlinea…
math.AP2015
Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement
Florian Mehats, Christof Sparber
We consider the three-dimensional time-dependent Gross-Pitaevskii equation arising in the description of rotating Bose-Einstein condensates and study the corresponding scaling limi…