Abstract
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.
Original language | English |
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Pages (from-to) | 2329-2339 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 34 |
Issue number | 18 |
DOIs | |
Publication status | Published - 2011 |