We consider a mixed boundary problem for the Navier-Stokes equations in a bounded Lipschitz two-dimensional domain: we assign a Dirichlet condition on the curve portion of the boundary and a slip zero condition on its straight portion. We prove that the problem has a solution provided the boundary d
A mixed variational formulation for the navier-stokes problem with hyper-dissipation
โ Scribed by H. Manouzi
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 791 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
A
mixed variational formulation is used to solve the stationary Navier-Stokes equations with hyper dissipation. In this formulation, the laplacian of the velocity, the velocity and the pressure are the most relevant unknowns. For the linear case, tile existence and uniqueness results for this mixed formulation are proved. Then, numerical results are presented for the nonlinear case. @
๐ SIMILAR VOLUMES
## Abstract In this paper we derive a mixed variational formulation for the exterior Stokes problem in terms of the vorticity and stream function, or the vector potential in three dimensions. The main steps are the construction of the stream function (or vector potential) and the proof of the Babuลก