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On a time-dependent grade-two fluid model in two dimensions

✍ Scribed by V. Girault; M. Saadouni

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
310 KB
Volume
53
Category
Article
ISSN
0898-1221

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✦ Synopsis

We prove the existence of a weak solution of a time-dependent grade-two fluid model in a plane Lipschitz domain and uniqueness of the solution in a convex polygon. The method of proof is constructive and can be adapted to the numerical analysis of finite-element schemes for solving this problem numerically.

πŸ“œ SIMILAR VOLUMES

Regularized finite element discretizatio
Regularized finite element discretizations of a grade-two fluid model
✍ M. Amara; C. Bernardi; V. Girault; F. Hecht πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 478 KB πŸ‘ 1 views

We consider a system with three unknowns in a two-dimensional bounded domain which models the ow of a grade-two non-Newtonian uid. We propose to compute an approximation of the solution of this problem in two steps: addition of a regularization term, ΓΏnite element discretization of the regularized p