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On the Mathematical Analysis of Thick Fluids

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Free Boundary Problems and Related Topics

In chemical engineering models, shear-thickening or dilatant fluids may converge to the limit class of incompressible fluids with a maximum admissible shear rate, the so-called thick fluids. These non-Newtonian fluids may be obtained, in particular, as the power limit of Ostwald-deWaele fluids, and may be formulated as a new class of evolution variational inequalities. We discuss the existence, uniqueness and continuous dependence of solutions, as well as the asymptotic stabilization in time towards steady state solutions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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