STEADY FLOW OF FLUIDS WITH SHEAR-DEPENDENT VISCOSITY UNDER MIXED BOUNDARY VALUE CONDITIONS IN POLYHEDRAL DOMAINS
2000 ◽
Vol 10
(05)
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pp. 629-650
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Keyword(s):
In this paper the system of partial differential equations [Formula: see text] is studied, where e is the symmetrized gradient of u, and T has p-structure for some p<2 (e.g. div T is the p-Laplacian and p<2). Mixed boundary value conditions on a three-dimensional polyhedral domain are considered. Ws,p-regularity (s=3/2-ε) of the velocity u and Wr,p′-regularity of the pressure π are proven.
1964 ◽
Vol 16
(3)
◽
pp. 187-195
◽
1962 ◽
Vol 10
(1)
◽
pp. 1-28
◽
1964 ◽
Vol 13
(2)
◽
pp. 199-208
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1976 ◽
Vol 10
(3)
◽
pp. 527-533
◽