Electron. J. Diff. Eqns., Vol. 2009(2009), No. 95, pp. 1-11.

A parabolic-hyperbolic system modelling a moving cell

Fabiana Cardetti, Yung-Sze Choi

Abstract:
In this article, we study the existence and uniqueness of local solutions for a moving boundary problem governed by a coupled parabolic-hyperbolic system. The results can be applied to cell movement, extending a result obtained by Choi, Groulx, and Lui in 2005.

Submitted November 12, 2008. Published August 7, 2009.
Math Subject Classifications: 35Q80, 35R35, 35A07, 37N25, 92C17.
Key Words: Cell motility; moving boundary problems; coupled systems.

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Fabiana Cardetti
Department of Mathematics, University of Connecticut
Ubox 3009, Storrs, CT 06269, USA
email: fabiana.cardetti@uconn.edu
Yung-Sze Choi
Department of Mathematics, University of Connecticut
Ubox 3009, Storrs, CT 06269, USA
email: choi@math.uconn.edu

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