Artículo
Some regularity results for a double time-delayed 2d-Navier-Stokes model
Autor/es | García Luengo, Julia María
Marín Rubio, Pedro Planas, Gabriela |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2019-08-01 |
Fecha de depósito | 2024-09-17 |
Publicado en |
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Resumen | In this paper we analyze some regularity properties of a double time-delayed 2D-Navier-Stokes model, that includes not only a delay force but also a delay in the convective term. The interesting feature of the model -from ... In this paper we analyze some regularity properties of a double time-delayed 2D-Navier-Stokes model, that includes not only a delay force but also a delay in the convective term. The interesting feature of the model -from the mathematical point of view- is that being in dimension two, it behaves similarly as a 3D-model without delay, and extra conditions in order to have uniqueness were required for well-posedness. This model was previously studied in several papers, being the existence of attractor in the -framework obtained by the authors [Discrete Contin. Dyn. Syst. 34 (2014), 4085-4105]. Here regularization properties of the solutions and existence of (regular) attractors for several associated dynamical systems are established. Moreover, relationships among these objects are also provided. |
Cita | García Luengo, J.M., Marín Rubio, P. y Planas, G. (2019). Some regularity results for a double time-delayed 2d-Navier-Stokes model. Discrete and Continuous Dynamical Systems - Series B, 24 (8), 3929-3946. https://doi.org/10.3934/dcdsb.2018337. |
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