Title	Incompressible limit for a two-species model with coupling through Brinkmanâ s law.
Creator	Dębiec, Tomasz
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-11-25T06:52
Description	We study a two-species model of tissue growth describing dynamics under mechanical pressure and cell growth. The pressure is incorporated into the common fluid velocity through an elliptic equation, called Brinkmanâ s law, which accounts for viscosity effects in the individual species. Our aim is to establish the incompressible limit as the stiffness of the pressure law tends to infinity - thus demonstrating a rigorous bridge between the population dynamics of growing tissue at a density level and a geometric model thereof. </p> Joint work with B. Perthame (Sorbonne), M. Schmidtchen (TU Dresden) and N. Vauchelet (Paris 13). </p>
Extent	21.0 minutes
Subject	Mathematics; Partial differential equations; Fluid mechanics; Fluid dynamics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Warsaw
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-05-25
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0398147
URI	http://hdl.handle.net/2429/78431
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos