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Article Dans Une Revue Hiroshima Mathematical Journal Année : 2011

On a generalized stokes system with slip boundary conditions in the half-space

Résumé

We are interested in a system of Stokes type, where the divergence-free constraint is modified by adding a term proportional to the pressure. The domain is the half-space with nonhomogeneous Navier's boundary conditions. The weighted Sobolev spaces yield a natural functional framework to envisage a wide class of behavior at infinity for data and solutions. So, we can give a range of solutions from strong to very weak depending on the regularity of the data. All along this study, we take the bridge between this system and the linear elasticity system.

Dates et versions

hal-00865038 , version 1 (23-09-2013)

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Citer

Yves Raudin. On a generalized stokes system with slip boundary conditions in the half-space. Hiroshima Mathematical Journal, 2011, 41 (2), pp.179-209. ⟨10.32917/hmj/1314204561⟩. ⟨hal-00865038⟩
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