148 research outputs found

    On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates

    Full text link
    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

    Influence of Conversion and Anastomotic Leakage on Survival in Rectal Cancer Surgery; Retrospective Cross-sectional Study

    Get PDF

    Smoothing for the Zakharov and Klein--Gordon--Schrödinger Systems on Euclidean Spaces

    Full text link
    corecore