๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A mixed variational formulation for the navier-stokes problem with hyper-dissipation

โœ Scribed by H. Manouzi


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
791 KB
Volume
50
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ 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. @


๐Ÿ“œ SIMILAR VOLUMES


A mixed problem for the steady Navierโ€“St
โœ A. Russo; G. Starita ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 502 KB

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 stream-functionโ€“vorticity variational
โœ V. Girault; J. Giroire; A. Sequeira ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 822 KB

## 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