Global existence of solutions to a coupled parabolic-hyperbolic system with moving boundary

Author:

Choi Y.,Miller Craig

Abstract

A cell motility study leads to a moving boundary problem governed by a system of parabolic-hyperbolic equations. Establishing the parabolicity of one of the governing equations requires a priori bound analysis. Such bounds also exclude the formation of shock in the hyperbolic equation. Speeds of the moving boundaries can then be controlled, which eventually leads to the global existence of solutions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

1. A parabolic-hyperbolic system modelling a moving cell;Cardetti, Fabiana;Electron. J. Differential Equations,2009

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3. Traveling wave solutions for a one-dimensional crawling nematode sperm cell model;Choi, Y. S.;J. Math. Biol.,2004

4. Linearized stability of traveling cell solutions arising from a moving boundary problem;Choi, Y. S.;Proc. Amer. Math. Soc.,2007

5. Existence of traveling domain solutions for a two-dimensional moving boundary problem;Choi, Y. S.;Trans. Amer. Math. Soc.,2009

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