Artículo
On the existence and asymptotic stability of solutions for unsteady mixing-layer models
Autor/es | Chacón Rebollo, Tomás
Gómez Mármol, María Macarena Rubino, Samuele |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2014-02-15 |
Fecha de depósito | 2022-10-31 |
Publicado en |
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Resumen | We introduce in this paper some elements for the mathematical
analysis of turbulence models for oceanic surface mixing layers. We consider
Richardson-number based vertical eddy diffusion models. We prove the existence ... We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing layers. We consider Richardson-number based vertical eddy diffusion models. We prove the existence of unsteady solutions if the initial condition is close to an equilibrium, via the inverse function theorem in Banach spaces. We use this result to prove the non-linear asymptotic stability of equilibrium solutions. |
Cita | Chacón Rebollo, T., Gómez Mármol, M.M. y Rubino, S. (2014). On the existence and asymptotic stability of solutions for unsteady mixing-layer models. Discrete and continuous dynamical systems. Series A, 34 (2), 421-436. https://doi.org/10.3934/dcds.2014.34.421. |
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