A note on stability shifting for the Muskat problem

Diego Córdoba, Javier Gómez-Serrano, Andrej Zlato

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

In this note, we show that there exist solutions of the Muskat problem that shift stability regimes: they start unstable, then become stable and finally return to the unstable regime. We also exhibit numerical evidence of solutions with medium-sized L norm of the derivative of the initial condition that develop a turning singularity.

Original languageEnglish (US)
Article number20140278
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume373
Issue number2050
DOIs
StatePublished - Sep 13 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Keywords

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

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