ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT

被引：3

作者：

Cao, Wentao ^{[1
]}

Huang, Feimin ^{[1
]}

机构：

[1] Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 04期

关键词：

axonal transport; relaxation; equilibrium; convergence rate; APPROXIMATE TRAVELING-WAVES; CONSERVATION-LAWS; RELAXATION; EQUATIONS; MODEL;

D O I：

10.1016/S0252-9602(15)30029-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of reaction hyperbolic systems for axonal transport arising in neuroscience which can be regarded as hyperbolic systems with relaxation. We prove the BV entropy solutions of the hyperbolic systems converge toward to the unique entropy solution of the equilibrium equation at the optimal rate O(root delta) in L-l norm as the relaxation time delta tends to zero.

引用

页码：945 / 954

页数：10

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