$L^p$-theory for the Navier-Stokes equations with pressure boundary conditions | Zendy

Chérif Amrouche | Zendy; Nour El Houda Seloula | Zendy

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$L^p$-theory for the Navier-Stokes equations with pressure boundary conditions

Author(s) -

Chérif Amrouche,

Nour El Houda Seloula

Publication year - 2013

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2013.6.1113

Subject(s) - mathematics , bounded function , class (philosophy) , navier–stokes equations , boundary (topology) , mathematical analysis , boundary value problem , fixed point theorem , type (biology) , open set , pure mathematics , physics , compressibility , computer science , mechanics , ecology , artificial intelligence , biology

International audienceWe consider the Navier-Stokes equations with pressure boundary conditions in the case of a bounded open set, connected of class C 1;1 of ℝ3. We prove existence of solution by using a fixed point theorem over the type-Oseen problem. This result was studied in [5] in the Hilbertian case. In our study we give the Lp-theory for 1 < p < ∞

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