Large-time behavior in incompressible Navier-Stokes equations
We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes equations in R(n), n greater than or equal to 2. By combining estimates obtained from the integral equation with a scaling technique, we prove that, for initial data satisfying some integrability cond...
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| Formato: | artículo |
| Fecha de publicación: | 1996 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57224 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/57224 |
| Access Level: | acceso abierto |
| Palavra-chave: | 531.3 Incompressible Navier-Stokes equations Strong solutions Large time behaviour Asymptotic development Heat equation Física matemática Hidrodinámica 3301.12 Hidrodinámica |
| Resumo: | We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes equations in R(n), n greater than or equal to 2. By combining estimates obtained from the integral equation with a scaling technique, we prove that, for initial data satisfying some integrability conditions (and small enough, if n greater than or equal to 3), u behaves like the solution of the heat equation taking the same initial data as u plus a corrector term that we compute explicitely. |
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