Title	A Pseudo-Parabolic PDE for Compaction of a Sedimentary Basin
Creator	Showalter, Ralph E.
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-08-02T15:54
Description	The porosity of a compacting sedimentary basin satisfies a nonlinear pseudo-parabolic partial differential equation. This equation is distinguished from the classical porous medium equation by a third order term, a degenerate elliptic operator in spatial variables acting on the time derivative of the solution. We describe the derivation of the model equation, review classical results for pseudo-parabolic equations and their relation to parabolic equations, present new existence and regularity results for this nonlinear PDE, and show they are consistent with expected behavior of solutions in this context.
Extent	38.0
Subject	Mathematics; Numerical analysis; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Oregon State University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377033
URI	http://hdl.handle.net/2429/68846
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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