3324281-10.4171-ifb-459-print.pdf (1.04 MB)
Free boundary problems for Stokes flow, with applications to the growth of biological tissues
Version 2 2023-06-12, 09:42
Version 1 2023-06-09, 22:57
journal contribution
posted on 2023-06-12, 09:42 authored by John R King, Chandrasekhar VenkataramanChandrasekhar VenkataramanWe formulate, analyse and numerically simulate what are arguably the two simplest Stokes-flow 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 two- and three-dimensional cases are considered. A number of phenomena are identified and characterised thereby, most notably a buckling-associated instability in case (ii).
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- Published
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- Published version
Journal
Interfaces and Free BoundariesISSN
1463-9963Publisher
European Mathematical SocietyExternal DOI
Issue
4Volume
23Page range
433-458Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2021-02-03First Open Access (FOA) Date
2021-11-09First Compliant Deposit (FCD) Date
2021-02-02Usage metrics
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