8 citations · 8 across the 3 of their papers we have counts for
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On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates
Paolo Antonelli, Peter Markowich, Ryan Obermeyer +2
We study a generalized dissipative Gross-Pitaevskii-type model arising in the description of exciton-polariton condensates. We derive global in-time existence results and various a…
An Optimal Transport Approach for the Kinetic Bohmian Equation
Wilfrid Gangbo, Jan Haskovec, Peter Markowich +1
We study the existence theory of solutions of the kinetic Bohmian equation, a nonlinear Vlasov-type equation proposed for the phase-space formulation of Bohmian mechanics. Our main…
Non-Uniqueness of Weak Solutions of the Quantum-Hydrodynamic System
Peter Markowich, Jesus Sierra
We investigate the non-uniqueness of weak solutions of the Quantum-Hydrodynamic system. This form of ill-posedness is related to the change of the number of connected components of…