Free boundary problems for Stokes flow, with applications to the growth of biological tissues

King, John and Venkataraman, Chandrasekhar (2021) Free boundary problems for Stokes flow, with applications to the growth of biological tissues. Interfaces and Free Boundaries. ISSN 1463-9963 (Accepted)

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Abstract

We formulate, analyse and numerically simulate what are arguably the two simplest Stokesflow free boundary problems relevant to tissue growth, extending the classical Stokes free boundary problem by incorporating (i) a volumetric source (the nutrient-rich case) and (ii) a volumetric sink, a surface source and surface compression (the nutrient-poor case). Both twoand three-dimensional cases are considered. A number of phenomena are identified and characterised thereby, most notably a buckling-associated instability in case (ii).

Item Type: Article
Keywords: Stokes flow, Tissue growth, Moving boundary problems, Finite element methods
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 03 Feb 2021 09:57
Last Modified: 03 Feb 2021 10:00
URI: http://sro.sussex.ac.uk/id/eprint/96889

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