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

共 50 条

[1] STABILITY OF STEADY SOLUTIONS TO REACTION-HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT
Yan, Hao
Yong, Wen-An
[J]. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2012, 9 (02) : 325 - 337
[2] WEAK ENTROPY SOLUTIONS OF NONLINEAR REACTION-HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT
Yan, Hao
Yong, Wen-An
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 21 (10): : 2135 - 2154
[3] Traveling wave to a reaction-hyperbolic system for axonal transport
Huang, Feimin
Li, Xing
Zhang, Yinglong
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (01) : 264 - 284
[4] CONVERGENCE OF DIFFERENCE SOLUTIONS FOR A CLASS OF PARABOLIC AND HYPERBOLIC SYSTEMS
符鸿源
[J]. Science China Mathematics, 1984, (07) : 673 - 683
[5] CONVERGENCE OF DIFFERENCE SOLUTIONS FOR A CLASS OF PARABOLIC AND HYPERBOLIC SYSTEMS
符鸿源
[J]. ScienceinChina,Ser.A., 1984, Ser.A.1984 (07) - 683
[6] CONVERGENCE OF DIFFERENCE SOLUTIONS FOR A CLASS OF PARABOLIC AND HYPERBOLIC SYSTEMS
FU, HY
[J]. SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1984, 27 (07): : 675 - 683
[7] Convergence rate from hyperbolic systems of balance laws to parabolic systems
Li, Yachun
Peng, Yue-Jun
Zhao, Liang
[J]. APPLICABLE ANALYSIS, 2021, 100 (05) : 1079 - 1095
[8] ON THE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR NONLINEAR HYPERBOLIC SYSTEMS
Bressan, Alberto
Huang, Feimin
Wang, Yong
Yang, Tong
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (05) : 3537 - 3563
[9] Sharp Convergence Rate of the Glimm Scheme for General Nonlinear Hyperbolic Systems
Fabio Ancona
Andrea Marson
[J]. Communications in Mathematical Physics, 2011, 302 : 581 - 630
[10] ON THE RATE OF CONVERGENCE AND TRUNCATIONS FOR A CLASS OF MARKOVIAN QUEUEING SYSTEMS
Satin, Ya A.
Zeifman, A. I.
Korotysheva, A. V.
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 2013, 57 (03) : 529 - 539

← 1 2 3 4 5 →