Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 95, pp. 1-11.

Title: A parabolic-hyperbolic system modelling a moving cell

Authors: Fabiana Cardetti (Univ. of Connecticut, Storrs, CT, USA)
         Yung-Sze Choi    (Univ. of Connecticut, Storrs, CT, USA)

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 07, 2009.
Math Subject Classifications: 35Q80, 35R35, 35A07, 37N25, 92C17.
Key Words: Cell motility; moving boundary problems; coupled systems.