Open Access
Translator Disclaimer
2017 A note on stability shifting for the Muskat problem, II: From stable to unstable and back to stable
Diego Córdoba, Javier Gómez-Serrano, Andrej Zlatoš
Anal. PDE 10(2): 367-378 (2017). DOI: 10.2140/apde.2017.10.367

Abstract

In this note, we show that there exist solutions of the Muskat problem which shift stability regimes in the following sense: they start stable, then become unstable, and finally return back to the stable regime. This proves the existence of double stability shifting in the direction opposite to (as well as more difficult and more surprising than) the one shown by Cordoba et al. (Philos. Trans. Roy. Soc. A 373:2050 (2015), art. id. 20140278).

Citation

Download Citation

Diego Córdoba. Javier Gómez-Serrano. Andrej Zlatoš. "A note on stability shifting for the Muskat problem, II: From stable to unstable and back to stable." Anal. PDE 10 (2) 367 - 378, 2017. https://doi.org/10.2140/apde.2017.10.367

Information

Received: 27 January 2016; Revised: 26 October 2016; Accepted: 26 December 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1360.35171
MathSciNet: MR3619874
Digital Object Identifier: 10.2140/apde.2017.10.367

Subjects:
Primary: 35Q35
Secondary: 35R35 , 65G30 , 76B03

Keywords: computer-assisted , incompressible fluid , Interface , Muskat problem , porous media , Rayleigh–Taylor

Rights: Copyright © 2017 Mathematical Sciences Publishers

JOURNAL ARTICLE
12 PAGES


SHARE
Vol.10 • No. 2 • 2017
MSP
Back to Top