A mathematical and numerical study of incompressible flows with a surfactant monolayer | Zendy

Yuen-Yick Kwan | Zendy; Jinhae Park | Zendy; Jie Shen | Zendy

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A mathematical and numerical study of incompressible flows with a surfactant monolayer

Author(s) -

Yuen-Yick Kwan,

Jinhae Park,

Jie Shen

Publication year - 2010

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2010.28.181

Subject(s) - compressibility , pulmonary surfactant , monolayer , cylinder , coupling (piping) , mechanics , stability (learning theory) , incompressible flow , physics , classical mechanics , mathematics , materials science , computer science , thermodynamics , geometry , nanotechnology , metallurgy , machine learning

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.

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