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.
@incollection{JEDP_2017____A3_0,
author = {\'Angel Castro},
title = {Mixing solutions for {IPM}},
booktitle = {},
series = {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 = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.653/}
}
TY - JOUR AU - Ángel Castro TI - Mixing solutions for IPM JO - Journées équations aux dérivées partielles N1 - talk:3 PY - 2017 SP - 1 EP - 13 PB - Groupement de recherche 2434 du CNRS UR - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.653/ DO - 10.5802/jedp.653 LA - en ID - JEDP_2017____A3_0 ER -
Ángel Castro. Mixing solutions for IPM. Journées équations aux dérivées partielles (2017), Talk no. 3, 13 p. doi : 10.5802/jedp.653. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.653/
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