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Journal of Convex Analysis 22 (2015), No. 2, 339--363
Copyright Heldermann Verlag 2015

The Flow of a Bingham Fluid under a Pseudo-Monotone Perturbation

Phuong Nguyen Pham
The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Rawles Hall, Bloomington, IN 47405, U.S.A.

We show existence of weak solutions for a three dimensional Bingham flow with a pseudo-monotone perturbation. For the two dimensional case and if the main operator is linear, we show more regularity of the solution and also derive the uniqueness result for the solution.

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