Work

A note on stability shifting for the Muskat problem

Year: 2015

Type: article

Abstract: In this note, we show that there exist solutions of the Muskat problem that shift stability regimes: they start unstable, then become stable and finally return to the unstable regime. We also exhibit numerical evidence of solutions with medium-sized L(∞) norm of the derivative of the initial condition that develop a turning singularity.

Source: Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rsta.2014.0278

Authors: Diego Córdoba, Javier Gómez-Serrano, Andrej Zlatoš

Institutions: Consejo Superior de Investigaciones Científicas, Princeton University, Institute of Mathematical Sciences, University of Wisconsin–Madison

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1822903469

FWCI: 3.886

Cites: 16

Cited by: 26

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