Hölder continuity for two-phase flows in porous media

Li-Ming Yeh*

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

This work is to prove the Holder 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 Holder continuity.

Original languageEnglish
Pages (from-to)1261-1289
Number of pages29
JournalMathematical Methods in the Applied Sciences
Volume29
Issue number11
DOIs
StatePublished - 25 Jul 2006

Keywords

  • Alternative argument
  • Global pressure
  • Two-phase flow

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