A regularity result for the heterogeneous evolution dam problem

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5 Citations (Scopus)

Abstract

We consider a non steady-state fluid flow through a heterogeneous porous medium governed by a nonlinear Darcy law. Under a general condition on the permeability, we prove the Lp-continuity of the saturation for any p ≥ 1.

Original languageEnglish
Pages (from-to)149-166
Number of pages18
JournalZeitschrift für Analysis und ihre Anwendungen
Volume24
Issue number1
DOIs
Publication statusPublished - 2005
Externally publishedYes

Keywords

  • Continuity
  • Evolution Dam Problem
  • Monotonicity

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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