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Journal articles
Existence results for flows of slightly compressible viscoelastic fluids in a bounded domain with corners
Abstract : Steady flows of slightly compressible viscoelastic fluids of Oldroyd's type with zero boundary conditions are considered on a bounded two-dimensional domain with an isolated corner point. We prove the existence and the uniqueness of the solution for small data in weighted Sobolev spaces Vξk, where the index ξ characterizes the power growth of the solution near the angular point. The proof follows from an analysis of a linearized problem through the fixed point theory. We use a method of decomposition for such linearized equations: the velocity field u is split into a non-homogeneous incompressible part v and a compressible part ∇φ.
https://hal-upec-upem.archives-ouvertes.fr/hal-00803959
Contributor : Colette Guillope Connect in order to contact the contributor
Submitted on : Sunday, March 24, 2013 - 10:51:41 AM
Last modification on : Tuesday, October 19, 2021 - 4:09:48 PM
Contributor : Colette Guillope Connect in order to contact the contributor
Submitted on : Sunday, March 24, 2013 - 10:51:41 AM
Last modification on : Tuesday, October 19, 2021 - 4:09:48 PM