Moving boundary problem for a one-dimensional crawling nematode sperm cell model

被引：10

作者：

Choi, YS ^{[1
]}

Groulx, P

Lui, R

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 USA

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2005年 / 6卷 / 05期

关键词：

moving boundary problems; nonlocal differential equations; global existence;

D O I：

10.1016/j.nonrwa.2004.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a continuation of the authors' investigation of the crawling nematode sperm cell model proposed by Mogilner and Verzi in 2003 (J. Stat. Phys. 110 (2003) 1169). In the earlier papers (J. Math. Biol. 49 (2004) 310 and J. Math. 8 (2004) 399), the first and last authors and Juliet Lee proved the existence of traveling wave solutions for the nematode sperm cell model. In this paper, we prove local existence of solutions to the same model and global existence under certain additional assumption on the initial data. Finally, we also provide numerical evidence that the traveling wave solutions found in (J. Math. Biol., accepted for publication) is globally asymptotically stable. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：874 / 898

页数：25

共 7 条

[1]

Bottino D, 2002, J CELL SCI, V115, P367

[2] Existence of traveling wave solutions for a one-dimensional cell motility model [J].