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
✦ LIBER ✦
Strong Solutions for Generalized Newtonian Fluids
✍ Scribed by Lars Diening; Michael Růžička
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 365 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1422-6928
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## Communicated by S. Chen We study a class of compressible non-Newtonian fluids in one space dimension. We prove, by using iterative method, the global time existence and uniqueness of strong solutions provided that the initial data satisfy a compatibility condition and the initial density is sma