A MATHEMATICAL AND NUMERICAL STUDY OF INCOMPRESSIBLE FLOWS WITH A SURFACTANT MONOLAYER

作者：Kwan Yuen Yick^*; Park Jinhae; Shen Jie

来源：Discrete and Continuous Dynamical Systems, 2010, 28(1): 181-197.

DOI：10.3934/dcds.2010.28.181

• Existence
• Instabilities
• Navier-Stokes
• Pressure-correction
• Spectral-Galerkin method
• Surfactant
• Weak solution

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.

• 出版日期2010-9