SOLUTIONS FOR INCOMPRESSIBLE NON-NEWTONIAN FLUIDS

被引:0
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作者
BELLOUT, H
BLOOM, F
NECAS, J
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For the model of a viscous incompressible fluid, where the viscous stress tensor satisfies the growth condition \tau(ij) (e)\ less-than-or-equal-to C (1 + Absolute value of e)p-1, with e the rate of strain tensor. We prove the existence of Young measure valued solutions for p > 1 if n = 2, and for p > 6/5 if n = 3; the existence of weak solutions for p > 3/2 if n = 2, and for p > 9/5 if n = 3, and the existence of unique regular weak solutions for p greater-than-or-equal-to 2 if n = 2, and for p greater-than-or-equal-to 11/5 if n = 3. The analysis deals with the associated space periodic problem.
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页码:795 / 800
页数:6
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