Artículo
A new proof of the existence of suitable weak solutions and other remarks for the Navier-Stokes equations
Autor/es | Fernández Cara, Enrique
Marín Gayte, Irene |
Fecha de publicación | 2018-04 |
Fecha de depósito | 2019-05-20 |
Publicado en |
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Resumen | We prove that the limits of the semi-discrete and the discrete semi-implicit Euler schemes for the 3D Navier-Stokes equations upplemented with Dirichlet boundary conditions are suitable in the sense of Scheffer. This ... We prove that the limits of the semi-discrete and the discrete semi-implicit Euler schemes for the 3D Navier-Stokes equations upplemented with Dirichlet boundary conditions are suitable in the sense of Scheffer. This provides a new proof of the existence of suitable weak solutions, first established by Caffarelli, Kohn and Nirenberg. Our results are similar to the main result in Guermond, J.-L. (2007) Faedo-Galerkin Weak Solutions of the Navier-Stokes Equations with Dirichlet Boundary Conditions Are Suitable. Journal de Mathématiques Pures et Appliquées, 88, 87-106. We also present some additional remarks and open questions on suitable solutions. |
Identificador del proyecto | MTM2016-76990-P
FQM-131 |
Cita | Fernández Cara, E. y Marín Gayte, I. (2018). A new proof of the existence of suitable weak solutions and other remarks for the Navier-Stokes equations. Applied Mathematics, 9 (4), 383-402. |
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