Hiroshima Mathematical Journal

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

Yves Raudin

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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.

Article information

Hiroshima Math. J., Volume 41, Number 2 (2011), 179-209.

First available in Project Euclid: 24 August 2011

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 12A34 98B76
Secondary: 23C57

Stokes problem half-space weighted Sobolev spaces


Raudin, Yves. On a generalized Stokes system with slip boundary conditions in the half-space. Hiroshima Math. J. 41 (2011), no. 2, 179--209. doi:10.32917/hmj/1314204561. https://projecteuclid.org/euclid.hmj/1314204561

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