斯托克斯流的自由边界问题及其在生物组织生长中的应用

IF 1.2 4区数学 Q1 MATHEMATICS

Interfaces and Free Boundaries Pub Date : 2021-11-05 DOI:10.4171/ifb/459

John King, C. Venkataraman

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引用次数: 0

摘要

我们制定、分析和数值模拟了与组织生长相关的两个最简单的斯托克斯自由流动边界问题，通过合并(i)体积源(营养丰富的情况)和(ii)体积吸收、表面源和表面压缩(营养贫乏的情况)扩展了经典的斯托克斯自由边界问题。二维和三维的情况都被考虑。许多现象由此被识别和表征，最显著的是在情况(ii)中屈曲相关的不稳定性。

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

We 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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来源期刊

Interfaces and Free Boundaries 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent. The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet. Submissions should, ideally, emphasize the combination of theory and application.