Stability of Steady Solutions to Reaction-Hyperbolic Systems for Axonal Transport

YAN Hao; YONG Wenan

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Stability of Steady Solutions to Reaction-Hyperbolic Systems for Axonal Transport

YAN Hao 1,YONG Wenan 2 *

1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084

2.Zhou Pei-Yuan Center for Appl. Math.,Tsinghua University, Beijing 100084

*Correspondence author

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Funding: Specialized Research Fund for the Doctoral Program of Higher Education（No.Grant No. 20100002110085）, National Natural Science Foundationof China （No.NSFC 10971113）

Opened online:22 March 2012

Accepted by: none

Citation: YAN Hao ,YONG Wenan.Stability of Steady Solutions to Reaction-Hyperbolic Systems for Axonal Transport[OL]. [22 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4471473

This paper is concerned with the stability of steady solutions toinitial-boundary-value problems of reaction-hyperbolic systems foraxonal transport. Under proper structural assumptions, we clarifythe relaxation structure of the reaction-hyperbolic systems and showthe time-asymptotic stability of steady solutions or relaxationboundary-layers.

Keywords:axonal transport; reaction-hyperbolicsystems; relaxation structure; boundary-layers; time-asymptoticstability

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