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