41 citations · 41 across the 2 of their papers we have counts for
4 papers · 1 filter
Semiclassical asymptotics for weakly nonlinear Bloch waves
Remi Carles, Peter A. Markowich, Christof Sparber
We study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schroedinger equations with a fast periodic potential and a slowly varying conf…
On the Long Time Behavior of the Quantum Fokker-Planck equation
C. Sparber, J. A. Carrillo, J. Dolbeault +1
We analyze the long time behavior of transport equations for a class of dissipative quantum systems with Fokker-planck type scattering operator, subject to confining potentials of…
Wigner Functions versus WKB-Methods in Multivalued Geometrical Optics
Christof Sparber, Peter A. Markowich, Norbert J. Mauser
We consider the Cauchy-problem for a class of scalar linear dispersive equations with rapidly oscillating initial data. The problem of high-frequency asymptotics of such models is…
Existence and nonlinear stability of steady states of the Schrödinger-Poisson system
Peter A. Markowich, Gerhard Rein, Gershon Wolansky
We consider the Schrödinger-Poisson system in the attractive (plasma physics) Coulomb case. Given a steady state from a certain class we prove its nonlinear stability, using an app…