8 citations · 8 across the 3 of their papers we have counts for
6 papers
On the Regularity of a Weak Formulation of Stochastic Differential Mean-Field Games
Hector Sanchez Morgado, Jesus Sierra
We study a McKean-Vlasov Forward-Backward Stochastic Differential Equation (FBSDE) in connection with the theory of Stochastic Differential Mean-Field games, particularly the weak…
On the Well-Posedness of Two Driven-Damped Gross Pitaevskii-Type Models for Exciton-Polariton Condensates
Jakob Möller, Jesus Sierra
We study the well-posedness of two systems modeling the non-equilibrium dynamics of pumped decaying Bose-Einstein condensates. In particular, we present the local theory for rough…
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…
On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability
Jesús Sierra, Aslan Kasimov, Peter Markowich +1
We investigate the behavior of solutions of the complex Gross-Pitaevskii equation, a model that describes the dynamics of pumped decaying Bose-Einstein condensates. The stationary…