A class of pseudo‐parabolic equations: existence, uniqueness of weak solutions, and error estimates for the Euler‐implicit discretization

In this paper, we investigate a class of pseudo-parabolic equations. Such equations model two-phase flow in porous media where dynamic effects are included in the capillary pressure. The existence and uniqueness of a weak solution are proved, and error estimates for an Euler implicit time discretization are obtained. Copyright © 2011 John Wiley & Sons, Ltd.

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