A note on stability shifting for the Muskat problem, II: From stable to unstable and back to stable

Diego Córdoba, Javier Gómez-Serrano, Andrej Zlatoš

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

In this note, we show that there exist solutions of the Muskat problem which shift stability regimes in the following sense: they start stable, then become unstable, and finally return back to the stable regime. This proves the existence of double stability shifting in the direction opposite to (as well as more difficult and more surprising than) the one shown by Cordoba et al.

Original languageEnglish (US)
Pages (from-to)367-378
Number of pages12
JournalAnalysis and PDE
Volume10
Issue number2
DOIs
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

Keywords

  • Computer-assisted
  • Incompressible fluid
  • Interface
  • Muskat problem
  • Porous media
  • Rayleigh-Taylor

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