Existence and Regularity of Optimal Solution for a Dead Oil Isotherm Problem
arXiv:math/0608378
Abstract
We study a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of the mechanics of a continuous medium. Existence and regularity of the optimal solutions for this system is established.
Accepted for publication in the journal "Differential Geometry -- Dynamical Systems" (22-July-2006)