Artículo
On 3D Navier-Stokes equations: regularization and uniqueness by delays
Autor/es | Bessaih, Hakima
Garrido Atienza, María José Schmalfuss, Björn |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2018 |
Fecha de depósito | 2018-06-06 |
Publicado en |
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Resumen | A modified version of the three dimensional Navier-Stokes equations is considered with periodic boundary conditions. A bounded constant delay is introduced into the convective term, that produces a regularizing effect on ... A modified version of the three dimensional Navier-Stokes equations is considered with periodic boundary conditions. A bounded constant delay is introduced into the convective term, that produces a regularizing effect on the solution. In fact, by assuming appropriate regularity on the initial data, the solutions of the delayed equations are proved to be regular and, as a consequence, existence and also uniqueness of a global weak solution is obtained. Moreover, the associated flow is constructed and the continuity of the semigroup is proved. Finally, we investigate the passage to the limit on the delay, obtaining that the limit is a weak solution of the Navier-Stokes equations. |
Agencias financiadoras | National Science Foundation (NSF). United States Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | DMS-141883
MTM2015-63723-P |
Cita | Bessaih, H., Garrido Atienza, M.J. y Schmalfuss, B. (2018). On 3D Navier-Stokes equations: regularization and uniqueness by delays. Physica D: Nonlinear Phenomena, 1-10. |
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