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

doi:10.1016/S0252-9602(15)30029-1

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (4): 945-954.doi: 10.1016/S0252-9602(15)30029-1

• 论文 • 上一篇

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

曹文涛, 黄飞敏

收稿日期:2015-03-23 出版日期:2015-07-01 发布日期:2015-07-01
基金资助:
The work of F. Huang is partially supported by the NSFC (11371349), National Basic Research Program of China (973 Program) (2011CB808002).

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

Wentao CAO, Feimin HUANG

Institute of Applied Mathematics, AMSS, CAS, Beijing 100190, China

Received:2015-03-23 Online:2015-07-01 Published:2015-07-01
Supported by:
The work of F. Huang is partially supported by the NSFC (11371349), National Basic Research Program of China (973 Program) (2011CB808002).

摘要/Abstract

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(√δ)in L¹ norm as the relaxation time δ tends to zero.

关键词: axonal transport, relaxation, equilibrium, convergence rate

Abstract:

Key words: axonal transport, relaxation, equilibrium, convergence rate

中图分类号:

35L40

曹文涛, 黄飞敏. ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT[J]. 数学物理学报(英文版), 2015, 35(4): 945-954.

Wentao CAO, Feimin HUANG. ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT[J]. Acta mathematica scientia,Series B, 2015, 35(4): 945-954.

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

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

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