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A nonlinear parabolic equation modelling surfactant diffusion

Published online by Cambridge University Press:  23 October 2000

XINFU CHEN ,
CHAOCHENG HUANG  and
JENNIFER ZHAO
XINFU CHEN
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA (e-mail: xinfu+@pitt.edu)
CHAOCHENG HUANG
Affiliation:
Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA (e-mail: chuang@math.wright.edu)
JENNIFER ZHAO
Affiliation:
Department of Mathematics and Statistics, University of Michigan-Dearborn, Dearborn, MI 48128, USA (e-mail: xich@umich.edu)
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Abstract

An initial-boundary value problem for nonlinear parabolic equations modelling surfactant diffusions is investigated. The boundary conditions are of nonlinear adsorptive types, and the initial value has a single point jump. We study the well-posedness of the problem, the convergence of a numerical scheme, and the regularity as well as quantitative behaviour of solutions.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 11 , Issue 4 , September 2000 , pp. 413 - 432
Copyright
2000 Cambridge University Press

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