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math.AP2007
Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
Lukas Neumann, Christof Sparber
We study a class of nonlinear kinetic Fokker-Planck type equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish th…
math.AP2007★ 7 cited
Interaction of modulated pulses in the nonlinear Schroedinger equation with periodic potential
Johannes Giannoulis, Alexander Mielke, Christof Sparber
We consider a cubic nonlinear Schroedinger equation with periodic potential. In a semiclassical scaling the nonlinear interaction of modulated pulses concentrated in one or several…