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Hölder continuity for two‐phase flows in porous media
Author(s) -
Yeh LiMing
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.724
Subject(s) - mathematics , uniqueness , degeneracy (biology) , degenerate energy levels , porous medium , mathematical analysis , hölder condition , compressibility , work (physics) , differential equation , porosity , physics , thermodynamics , bioinformatics , geotechnical engineering , quantum mechanics , engineering , biology
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