A note on stability shifting for the Muskat problem.

نویسندگان

  • Diego Córdoba
  • Javier Gómez-Serrano
  • Andrej Zlatoš
چکیده

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.

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عنوان ژورنال:
  • Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

دوره 373 2050  شماره 

صفحات  -

تاریخ انتشار 2015