PDE Models for Bose-Einstein Condensation

Peter Markowich
University of Vienna and Radon Institute, Austrian Academy of Science, Linz
Institute of Mathematics

We discuss two basic models for Bose-Einstein condensates:
1)the Boson Boltzmann equation describing the condensation process,
2)the Gross-Pitaevskii equation modelling the evolution of
Bose-Einstein condensates.
Basic analytical results, numerical schemes, simulation results and open problems are presented.


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