WEAK ENTROPY SOLUTIONS OF NONLINEAR REACTION-HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT

被引：6
|
作者：
Yan, Hao [1 ]
Yong, Wen-An [1 ]
机构：
[1] Tsinghua Univ, Zhou Pei Yuan Ctr Appl Math, Beijing 100084, Peoples R China
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2011年 / 21卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Axonal transport; relaxation limit; difference scheme; BV-estimates; entropy; APPROXIMATE TRAVELING-WAVES; CONSERVATION-LAWS; EQUATIONS;
D O I：
10.1142/S0218202511005684
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a class of nonlinear reaction-hyperbolic systems as models for axonal transport in neuroscience. We show the global existence of entropy-satisfying BV-solutions to the initial-value problems by using hyperbolic-type methods. Moreover, we rigorously justify the limit as the biochemical processes are much faster than the transport ones.
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页码：2135 / 2154
页数：20
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