Title	A Phase-Field Model For Hele-Shaw Flow
Creator	Shearer, Michael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-02T15:01
Description	The invasion of one fluid into a fluid occupying the narrow gap between parallel plates is a model for the displacement of a resident fluid in a porous medium by injecting a second fluid. In this paper, I describe equations formulated by Ruben Juanes and Luis Cueto-Felguereso based on a phase-field formulation. Numerical solutions of plane waves exhibit unusual behavior that is explored mathematically. Connections are made to finite speed propagation of a small amplitude wave solution of the porous medium equation, and to traveling waves that in a singular limit would be anomalous shock wave solutions of the equations. This research is documented in the thesis of Melissa Strait.
Extent	25.0 minutes
Subject	Mathematics; Fluid mechanics; Approximations and expansions; Fluid dynamics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: North Carolina State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-10-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0384643
URI	http://hdl.handle.net/2429/72124
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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