On Quasi-static Non=Newtonian Fluids with Power-law

✍ Scribed by Martin Fuchs

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 332 KB
• Volume: 19
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/(sici)1099-1476(199610)19:15<1225::aid-mma827>3.0.co;2-u

✦ Synopsis

Communicated by E. Meister

We discuss certain classes of quasi-static non-Newtonian fluids for which a power-law of the form uD = V+(Iu) holds. Here d' is the stress deviator, u the velocity field, bv its symmetric derivative and 4 is the function pm 3 0, po 3 0, pm + po > 0,l < p < co. We then prove various regularity results for the velocity field u, for example differentiability almost everywhere and local boundedness of the tensor dpu.