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| On Regularity of Incompressible Fluid with Shear Dependent Viscosity |
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Citation： |
Hongjun YUAN,Qiu MENG.On Regularity of Incompressible Fluid with Shear Dependent Viscosity[J].Chinese Annals of Mathematics B,2012,33(5):673~680 |
| Page view： 1734
Net amount： 1167 |
Authors： |
Hongjun YUAN; Qiu MENG; |
Foundation： |
the National Natural Science Foundation of China (No. 10971080). |
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| Abstract： |
The authors consider a non-Newtonian uid governed by equations with p-structure in a cubic domain. A uid is said to be shear thinning (or pseudo-plastic) if 1 < p < 2, and shear thickening (or dilatant) if p > 2. The case p > 2 is considered in this paper. To improve the regularity results obtained by Crispo, it is shown that the second-order derivatives of the velocity and the rst-order derivative of the pressure belong to suitable spaces, by appealing to anisotropic Sobolev embeddings. |
Keywords： |
Non-Newtonian uid, Regularity, Shear dependent viscosity |
Classification： |
35Q35, 76D03 |
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