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A note on stability shifting for the Muskat problem

Diego Córdoba1, Javier Gómez-Serrano2, Andrej Zlatoš3

  • 1Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, C/ Nicolas Cabrera, 13-15, 28049 Madrid, Spain Department of Mathematics, Princeton University, 804 Fine Hall, Washington Road, Princeton, NJ 08544, USA dcg@icmat.es.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 12, 2015
PubMed
Summary

Solutions to the Muskat problem can exhibit dynamic stability shifts, transitioning from unstable to stable and back to unstable. Numerical evidence also reveals turning singularities in solutions with specific initial conditions.

Keywords:
Muskat problemRayleigh–Taylorincompressible fluidinterfaceporous media

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