On the very weak solution for the Oseen and Navier-Stokes equations
We study the existence of very weak solutions regularity for the Stokes, Oseen and NavierStokes system when non-smooth Dirichlet boundary data for the velocity are considered in domains of class C1,1. In the Navier-Stokes case, the results will be valid for external forces non necessarily small. Reg...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/40273 |
| Acceso en línea: | http://hdl.handle.net/11441/40273 https://doi.org/10.3934/dcdss.2010.3.159 |
| Access Level: | acceso abierto |
| Palabra clave: | Stokes equations Oseen equations Navier-Stokes equations Very weak solutions Stationary Solutions |
| Sumario: | We study the existence of very weak solutions regularity for the Stokes, Oseen and NavierStokes system when non-smooth Dirichlet boundary data for the velocity are considered in domains of class C1,1. In the Navier-Stokes case, the results will be valid for external forces non necessarily small. Regularity results for more regular data will be also discussed. |
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