Weak solutions for the Oseen system in 2D and when the given velocity is not sufficiently regular
The aim of this work is twofold: proving the existence of solution (u,π)∈H1(Ω)×L2(Ω) in bounded domains of R2 and the whole plane for the Oseen problem (O) for solenoidal vector fields v in L2(Ω), and analyzing the same problem in bounded domains of Rn for n=2,3 when h=0, g=0 and the solenoidal fiel...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2019 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/138460 |
| Acesso em linha: | https://hdl.handle.net/11441/138460 https://doi.org/10.1016/j.aml.2018.12.017 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Oseen equations Stationary solutions Irregular data Hardy spaces |
| Resumo: | The aim of this work is twofold: proving the existence of solution (u,π)∈H1(Ω)×L2(Ω) in bounded domains of R2 and the whole plane for the Oseen problem (O) for solenoidal vector fields v in L2(Ω), and analyzing the same problem in bounded domains of Rn for n=2,3 when h=0, g=0 and the solenoidal field v belongs to Ls(Ω) for s<n. |
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