$L_p$-Theory for a Class of Non-Newtonian Fluids
✍ Scribed by Bothe, Dieter; Prüss, Jan
- Book ID
- 111870235
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2007
- Tongue
- English
- Weight
- 386 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0036-1410
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The paper concerns existence of weak solutions to the equations describing a motion of some non-Newtonian fluids with non-standard growth conditions of the Cauchy stress tensor. Motivated by the fluids of strongly inhomogeneous behavior and having the property of rapid shear thickening, we observe t
## 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