Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
type: Item
instance of: scholarly article
title: Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
zbMATH Open document ID: 1267.76033
author: Francisco Gancedo
author: Angel Castro
author: Diego Córdoba
author: Charles Fefferman
author: María López-Fernández
published in: Annals of Mathematics. Second Series
publication date: 2012-04-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1102.1902
review text: The Muskat problem models the evolution of interface between two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach the linear stability of the Muskat problem. Here, the authors show that the Rayleigh-Taylor condition may hold initially, but break down in finite time. As a consequence, the authors prove the existence of turning of water waves.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76D33
zbMATH DE Number: 6025004
zbMATH Keywords: Darcy law
zbMATH Keywords: water wave
zbMATH Keywords: turning point
MaRDI profile type: Publication
OpenAlex ID: W2090154928
arXiv ID: 1102.1902
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DOI: 10.4007/ANNALS.2012.175.2.9
description: scientific article; zbMATH DE number 6025004