Next Article in Journal / Special Issue
The Riccati System and a Diffusion-Type Equation
Previous Article in Journal / Special Issue
Numerical Construction of Viable Sets for Autonomous Conflict Control Systems
Mathematics 2014, 2(2), 83-95; doi:10.3390/math2020083
Article

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

Department of Mathematics and Informatics, "Gheorghe Asachi" Technical University of Iasi, Iasi 700506, Romania
Received: 31 December 2013 / Revised: 27 March 2014 / Accepted: 16 April 2014 / Published: 8 May 2014
(This article belongs to the Special Issue Mathematics on Partial Differential Equations)
Download PDF [204 KB, uploaded 8 May 2014]

Abstract

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.
Keywords: reaction-diffusion equations; nonlinear boundary conditions; traveling wave solutions reaction-diffusion equations; nonlinear boundary conditions; traveling wave solutions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
EndNote
MDPI and ACS Style

Apreutesei, N. Traveling Wave Solutions of Reaction-Diffusion Equations Arising in Atherosclerosis Models. Mathematics 2014, 2, 83-95.

View more citation formats

Related Articles

Article Metrics

Comments

Cited By

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert