Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837093 | Nonlinear Analysis: Real World Applications | 2015 | 23 Pages |
Abstract
We address the existence of strong solutions to a system of equations of motion of an incompressible non-Newtonian fluid. Our aim is to prove the short-time existence of strong solutions for the case of shear thickening viscosity, which corresponds to the power law ν(D)=∣D∣q−2(22.23…q>2.23…. The results are obtained by flattening the boundary and by using the difference quotient method. Near the boundary, we use weighted estimates in the normal direction.
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Authors
Hyeong-Ohk Bae, Jörg Wolf,