Nonlinear and Oblique Boundary Value Problems for the Stokes Equations
- M. Dilmi, Ferhat –Abbas
In this paper, we study the singular behavior of solutions of a boundary value problem with mixed conditions in a neighborhood of an edge. The considered problem is defined in a nonhomogeneous body of R, this is done in the general framework of weighted Sobolev spaces. Using the results of Benseridi-Dilmi, Grisvard and Aksentian, we show that the study of solutions’ singularities in the spatial case becomes a study of two problems: a problem of plane deformation and the other is of normal plane deformation.