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Global strong solutions for a class of compressible non-Newtonian fluids with vacuum

✍ Scribed by Changjia Wang; Hongjun Yuan

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 324 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1364

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✦ Synopsis

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 small in its H 1 -norm. The main difficulty is due to the strong nonlinearity of the system and the initial vacuum.

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