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