Title	Pure stress modes for linear viscoelastic flows with variable coefficients
Creator	Renardy, Michael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-11-23T10:55
Description	We consider the equations of a linear Maxwell fluid with spatially varying coefficients. Pure stress modes are solutions with zero velocity but nonzero stresses. We derive equations to characterize such solutions. In two dimensions, we find that under generic hypotheses only certain "trivial" solutions exist. In three dimensions, on the other hand, there exist nontrivial solutions. To get them, we derive a system of partial differential equations whose type (elliptic or hyperbolic) depends on the sign of the Gauss curvature of level surfaces of the relaxation time. </p> (joint work with Debanjana Mitra and Mythily Ramaswamy) </p>
Extent	17.0 minutes
Subject	Mathematics; Partial differential equations; Fluid mechanics; Fluid dynamics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Virginia Tech
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-05-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0398128
URI	http://hdl.handle.net/2429/78412
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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