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dc.contributor.authorAntonelli, Paolo
dc.contributor.authorMarkowich, Peter A.
dc.contributor.authorObermeyer, Ryan
dc.contributor.authorSierra, Jesus
dc.contributor.authorSPARBER, CHRISTOF
dc.date.accessioned2019-12-04T05:46:45Z
dc.date.available2019-12-04T05:46:45Z
dc.date.issued2019-10-02
dc.identifier.citationAntonelli, P., Markowich, P., Obermeyer, R., Sierra, J., & Sparber, C. (2019). On a dissipative Gross–Pitaevskii-type model for exciton-polariton condensates. Nonlinearity, 32(11), 4317–4345. doi:10.1088/1361-6544/ab2bc1
dc.identifier.doi10.1088/1361-6544/ab2bc1
dc.identifier.urihttp://hdl.handle.net/10754/660402
dc.description.abstractWe 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.
dc.description.sponsorshipThe authors are grateful to the anonymous referee for helpful suggestions to improve upon an earlier version of this paper: in particular, we are grateful for pointing out the pointwise L∞-bound on n (see lemma 2.4) and for suggesting a Lyapunov-type functional similar to the one introduced in proposition 2.6.
dc.publisherIOP Publishing
dc.relation.urlhttps://iopscience.iop.org/article/10.1088/1361-6544/ab2bc1
dc.rightsThis is an author-created, un-copyedited version of an article accepted for publication/published in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://doi.org/10.1088/1361-6544/ab2bc1
dc.titleOn a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalNonlinearity
dc.eprint.versionPost-print
dc.contributor.institutionGran Sasso Science Institute, viale F. Crispi 7, 67100 L'Aquilla, Italy
dc.contributor.institutionDepartment of Mathematics, Statistics, and Computer Science, M/C 249, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL 60607, United States of America
dc.contributor.institutionDepartment of Information Engineering, Computer Science and Mathematics, University of L'Aquila, 67100 L'Aquila, Italy
kaust.personMarkowich, Peter A.
refterms.dateFOA2019-12-05T10:50:57Z
dc.date.published-online2019-10-02
dc.date.published-print2019-11-01


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