Hiroshima Mathematical Journal
- Hiroshima Math. J.
- Volume 41, Number 2 (2011), 179-209.
On a generalized Stokes system with slip boundary conditions in the half-space
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.
Hiroshima Math. J., Volume 41, Number 2 (2011), 179-209.
First available in Project Euclid: 24 August 2011
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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