Free boundary problems for Stokes flow, with applications to the growth of biological tissues
نویسندگان
چکیده
We formulate, analyse and numerically simulate what are arguably the two simplest Stokes-flow free boundary problems relevant to tissue growth, extending classical Stokes problem by incorporating (i) a volumetric source (the nutrient-rich case) (ii) sink, surface compression nutrient-poor case). Both two- three-dimensional cases considered. A number of phenomena identified characterised thereby, most notably buckling-associated instability in case (ii).
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ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 2021
ISSN: ['1463-9963', '1463-9971']
DOI: https://doi.org/10.4171/ifb/459