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A class of pseudo-parabolic equations: existence, uniqueness of weak solutions, and error estimates for the Euler-implicit discretization
- Source :
- Mathematical Methods in the Applied Sciences, 34(18), 2329-2339. Wiley
- Publication Year :
- 2011
-
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. Copyright © 2011 John Wiley & Sons, Ltd.
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 34
- Issue :
- 18
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi.dedup.....7ce1485e7d6326c563d86d5320334f1d