Mixing solutions for IPM

Castro, Ángel

Journées équations aux dérivées partielles (2017), Exposé no. 3, 13 p.

We explain the main steps in the proof of the existence of mixing solutions of the incompressible porous media equation for all Muskat type $H^5$ initial data in the fully unstable regime which appears in [4]. Also we present some numerical simulations about these solutions.

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