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.
phunguye@indiana.edu
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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