Multiple existence of traveling waves of a free boundary problem describing cell motility

Harunori Monobe; Hirokazu Ninomiya

doi:10.3934/dcdsb.2014.19.789

Multiple existence of traveling waves of a free boundary problem describing cell motility

Harunori Monobe, Hirokazu Ninomiya

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	789-799
Number of pages	11
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	19
Issue number	3
DOIs	https://doi.org/10.3934/dcdsb.2014.19.789
Publication status	Published - May 2014
Externally published	Yes

Keywords

Cell crawling
Free boundary problems
Traveling waves

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdsb.2014.19.789

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Multiple existence of traveling waves of a free boundary problem describing cell motility

Abstract

Keywords

ASJC Scopus subject areas

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