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On the Well-Posedness of Two Driven-Damped Gross-Pitaevskii-Type Models for Exciton-Polariton Condensates

Ponente: Jesús Sierra
Institución: IM-UNAM
 Tipo de Evento: Investigación
Cuándo 03/11/2022
de 11:00 a 12:00
Dónde Salón de seminarios "Graciela Salicrup"
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We study the well-posedness of two (nonlinear Schrödinger) systems modeling the non-equilibrium dynamics of pumped decaying Bose-Einstein condensates. In particular, we present the local theory for rough initial data using the Fourier restricted norm method introduced by Bourgain. We extend the result globally for initial data in L^2. Finally, we discuss the smoothing of these systems using Bourgain’s High-Low decomposition and applications of Tao’s I-method for the global theory.