A MATHEMATICAL AND NUMERICAL STUDY OF INCOMPRESSIBLE FLOWS WITH A SURFACTANT MONOLAYER
A MATHEMATICAL AND NUMERICAL STUDY OF INCOMPRESSIBLE FLOWS WITH A SURFACTANT MONOLAYER
复制标题
表面活性剂单层不可压缩流动的数学和数值研究
DOI：
10.3934/dcds.2010.28.181
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发表时间：
2010
影响因子：
1.1
通讯作者：
Jie Shen
中科院分区：
文献类型：
--
作者：
Y. Kwan;Jinhae Park;Jie Shen
我们在本文中考虑了表面活性剂单层不可压缩流动的数学模型。
表面活性剂的存在会产生耦合表面项，
使分析和模拟具有挑战性。
我们研究了这个具有物理相关性的偏微分方程耦合系统的适定性
边界条件以及数值稳定性
计划。我们还通过快速谱进行数值模拟
方法并用其研究表面活性剂的作用
专注于不可压缩流体在气缸中的运动。
We consider in this paper a mathematical model for the incompressible flows with a surfactant monolayer.
The presence of surfactant gives rise to coupling surface terms which
make the analysis and simulation challenging.
We study the well-posedness of this coupled system of PDEs with physically relevant
boundary conditions, as well as the stability of a numerical
scheme. We also preform numerical simulations by a fast-spectral
method and use it to study the effect of surfactant
concentration on the motion of an incompressible fluid in a cylinder.