Localized Mixing Zone for Muskat Bubbles and Turned Interfaces

We construct mixing solutions to the incompressible porous media equation starting from Muskat type data in the partially unstable regime. In particular, we consider bubble and turned type interfaces with Sobolev regularity. As a by-product, we prove the continuation of the evolution of IPM after th...

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Bibliographic Details
Main Authors: Castro, Á (Author), Faraco, D. (Author), Mengual, F. (Author)
Format: Article
Language:English
Published: Springer Science and Business Media B.V. 2022
Online Access:View Fulltext in Publisher