Finite speed of propagation and waiting time for a thin-film Muskat problem

Original version

Laurençot, P.; Matioc, B.-V.: Finite speed of propagation and waiting time for a thin-film Muskat problem. In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics 147 (2017), Nr. 4, S. 813-830. DOI: https://doi.org/10.1017/S030821051600038X

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To cite the version in the repository, please use this identifier: https://doi.org/10.15488/2314

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Abstract:
Propagation at a finite speed is established for non-negative weak solutions to a thin-film approximation of the two-phase Muskat problem. The expansion rate of the support matches the scale invariance of the system. Moreover, we determine sufficient conditions on the initial data for the occurrence of waiting time phenomena. Copyright © Royal Society of Edinburgh 2017
License of this version: Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
Publication type: Article
Publishing status: publishedVersion
Publication date: 2017
Keywords english: degenerate parabolic system, finite propagation speed, waiting time
DDC: 510 | Mathematik

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