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Stabilization of the Rayleigh-Taylor instability of an underlying fluid layer

Stefano Scrobogna
Institution: 
BCAM (Bilbao)
Location: 
A-138
Schedule: 
Tuesday, October 22, 2019 - 11:00
Abstract: 

In this talk we will prove that a thin layer of fluid on the ceiling is a globally stable configuration for the Muskat problem with surface tension. The initial elevation will be a medium-size perturbation of the flat state in the critical Wiener algebra $A^1$, and we will provide a new methodology which allows to perform energy estimates in Wiener algebras in the ALE formulation for the Muskat problem. Joint work with F. Gancedo & R. Granero.

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