G-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data
In this paper, a class of complex Ginzburg–Landau equations with random initial data is investigated, where the randomness may be of probability uncertainty. The existence and uniqueness of global solution for such system are proved under the framework of nonlinear expectation. Then, the existence o...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/147885 |
| Acceso en línea: | https://hdl.handle.net/11441/147885 https://doi.org/10.4310/CMS.2023.v21.n3.a5 |
| Access Level: | acceso abierto |
| Palabra clave: | complex Ginzburg–Landau equation random initial data nonlinear expectation G-mean random dynamical system G-mean random attractor |
| Sumario: | In this paper, a class of complex Ginzburg–Landau equations with random initial data is investigated, where the randomness may be of probability uncertainty. The existence and uniqueness of global solution for such system are proved under the framework of nonlinear expectation. Then, the existence of pullback G-mean random attractors for the G-mean random dynamical system generated by the solution operators of (1.1) is investigated not only in , but also in a weighted space . Moreover, such attractor is periodic if the nonautonomous deterministic forcing is time periodic. |
|---|