Behavior of radially symmetric solutions for a free boundary problem      related to cell motility

Harunori Monobe

doi:10.3934/dcdss.2015.8.989

Article Contents

2015, Volume 8, Issue 5: 989-997. Doi: 10.3934/dcdss.2015.8.989

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Behavior of radially symmetric solutions for a free boundary problem related to cell motility

Harunori Monobe^1,

1.
Meiji Institute of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525

Received: November 30, 2013

Revised: May 31, 2014

Published: September 2015

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Abstract

We consider a free boundary problem related to cell motility. In the previous work, the author [5] replaced the boundary condition, in the original problem, with a simple boundary condition and studied the behavior of radially symmetric solutions for the modified problem. In this paper, we consider the original mathematical model and show that the behavior of solutions for the model is similar to the one of solutions for the modified model under the certain condition.

Keywords:

Free boundary problems,
cell crawling.

Mathematics Subject Classification: Primary: 35R35; Secondary: 92C17.

Citation:

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References

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