148 research outputs found
On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates
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-priori estimates for this model posed on the
one-dimensional torus. Moreover, we analyze in detail the long-time behavior of
spatially homogenous solutions and their respective steady states and present
numerical simulations in the case of more general initial data. We also study
the convergence to the corresponding adiabatic regime, which results in a
single damped-driven Gross-Pitaveskii equation.Comment: 25 pages, 11 figure
Corticotropin-Releasing Hormone Microinfusion in the Central Amygdala Enhances Active Behaviour Responses in the Conditioned Defensive Burying Paradigm
Influence of Conversion and Anastomotic Leakage on Survival in Rectal Cancer Surgery; Retrospective Cross-sectional Study
A note on global existence for the Zakharov system on <inline-formula><tex-math id="M1">\begin{document}\end{document}</tex-math></inline-formula>
Low-regularity global well-posedness for the Klein-Gordon-Schrödinger system on <inline-formula><tex-math id="M1">\begin{document}\end{document}</tex-math></inline-formula>
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