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Hölder continuity for two-phase flows in porous media

✍ Scribed by Li-Ming Yeh

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
263 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This work is to prove the Hölder continuity of the solutions of the degenerate differential equations describing two‐phase, incompressible, immiscible flows in porous media. The differential equations allow degeneracy at two end points and the assumption on mild degeneracy is not required in this study. The regularity result is proved by an alternative argument. Uniqueness of the weak solutions of the differential equations is a direct consequence from this Hölder continuity. Copyright © 2006 John Wiley & Sons, Ltd

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