We explain the main steps in the proof of the existence of mixing solutions of the incompressible porous media equation for all Muskat type initial data in the fully unstable regime which appears in [4]. Also we present some numerical simulations about these solutions.
@article{JEDP_2017____A3_0, author = {Castro, \'Angel}, title = {Mixing solutions for {IPM}}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, note = {talk:3}, pages = {1--13}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2017}, doi = {10.5802/jedp.653}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.653/} }
Castro, Ángel. Mixing solutions for IPM. Journées équations aux dérivées partielles (2017), Talk no. 3, 13 p. doi : 10.5802/jedp.653. http://www.numdam.org/articles/10.5802/jedp.653/
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