Non-stationary flows of asymptotically Newtonian fluids

Dominic Breit, Bianca Stroffolini, Anna Verde · Communications in Contemporary Mathematics · 2016

We study nonlinear parabolic Stokes systems with an asymptotically linear structure. This refers to the slow flow of a non-Newtonian fluid with Newtonian behavior for large shear rates. We show that the symmetric gradient of the velocity field is locally bounded in space-time.

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