Artículo
G-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data
Autor/es | Caraballo Garrido, Tomás
Chen, Zhang Yang, Dandan |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2021-03-21 |
Fecha de depósito | 2023-07-12 |
Publicado en |
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Resumen | 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 ... 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. |
Cita | Caraballo Garrido, T., Chen, Z. y Yang, D. (2021). G-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data. Communications in Mathematical Sciences, 21 (3), 1-17. https://doi.org/10.4310/CMS.2023.v21.n3.a5. |
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