MULTIPLE EXISTENCE OF TRAVELING WAVES OF A FREE BOUNDARY PROBLEM DESCRIBING CELL MOTILITY

作者:Monobe Harunori*; Ninomiya Hirokazu
来源:Discrete and Continuous Dynamical Systems-Series B, 2014, 19(3): 789-799.
DOI:10.3934/dcdsb.2014.19.789

摘要

In this paper we consider a free boundary problem describing cell motility, which is a simple model of Umeda (see [11]). This model includes a non-local term and the interface equation with curvature. We prove that there exist at least two traveling waves of the model. First, we rewrite the problem into a fixed-point problem for a continuous map T and then show that there exist at least two fixed points for the map T.

  • 出版日期2014-5

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