The paper is focused on functional type a posteriori estimates of the difference between the exact solution of a variational problem modelling certain types of generalized Newtonian fluids and any function from the admissible energy class. In contrast to the a posteriori estimates obtained for examp
Regularization of convex variational problems with applications to generalized Newtonian fluids
โ Scribed by Michael Bildhauer; Martin Fuchs
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 136 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
## Abstract We first study the minimizers, in the class of convex functions, of an elliptic functional with nonhomogeneous Dirichlet boundary conditions. We prove __C__^1^ regularity of the minimizers under the assumption that the upper envelope of admissible functions is __C__^1^. This condition i
We consider the strong solution of an initial boundary value problem for a system of evolution equations describing the flow of a generalized Newtonian fluid of power law type. For a rather large scale of growth rates we prove local initial regularity results such as higher integrability of the pres