Title	A new continuum theory for incompressible swelling materials
Creator	Degond, Pierre
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-09T10:32
Description	Swelling media (e.g. gels, tumors) are usually described by mechanical constitutive laws (e.g. Hooke or Darcy laws). However, constitutive relations of real swelling media are not well-known. Here, we take an opposite route and consider a simple heuristics relying on the following rule: (i) particles are at packing density; (ii) any two particles cannot swap their position; (iii) motion should be as slow as possible. These heuristics determine the medium velocity uniquely. In general, this velocity cannot be retrieved by a simple Darcy law.
Extent	34 minutes
Subject	Mathematics; Partial differential equations; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Imperial College London
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-10-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372455
URI	http://hdl.handle.net/2429/67448
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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