Article
On 3D Navier-Stokes equations: regularization and uniqueness by delays
Author/s | Bessaih, Hakima
Garrido Atienza, María José Schmalfuss, Björn |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2018 |
Deposit Date | 2018-06-06 |
Published in |
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Abstract | 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. |
Funding agencies | National Science Foundation (NSF). United States Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | DMS-141883
![]() MTM2015-63723-P ![]() |
Citation | 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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