Traveling Wave Solutions of Reaction-Diffusion Equations Arising in Atherosclerosis Models

被引:1
|
作者
Apreutesei, Narcisa [1 ]
机构
[1] Gheorghe Asachi Tech Univ Iasi, Dept Math & Informat, Iasi 700506, Romania
来源
MATHEMATICS | 2014年 / 2卷 / 02期
关键词
reaction-diffusion equations; nonlinear boundary conditions; traveling wave solutions;
D O I
10.3390/math2020083
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this short review article, two atherosclerosis models are presented, one as a scalar equation and the other one as a system of two equations. They are given in terms of reaction-diffusion equations in an infinite strip with nonlinear boundary conditions. The existence of traveling wave solutions is studied for these models. The monostable and bistable cases are introduced and analyzed.
引用
收藏
页码:83 / 95
页数:13
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