轴突运输非线性双曲系统的收敛速率
偏微分方程分析
2015-03-06 v3
摘要
本文考虑一类带松弛项的非线性反应-双曲系统，作为神经科学中轴突运输的模型。我们证明，当松弛时间 趋于零时，系统的满足 Kruzkov 熵条件的 BV 解在 范数下以 的速率收敛至一个平衡模型的解。但我们未能确认该速率是否最优。
引用
@article{arxiv.1502.01081,
title = {On the convergence rate of the nonlinear-hyperbolic systems for axonal transport},
author = {Wentao Cao and Feimin Huang},
journal= {arXiv preprint arXiv:1502.01081},
year = {2015}
}
备注
The paper is being modified by one of the writer Feimin Huang but need some time, since he want it to be more clear in some words and formula, for example Step 2 in the proof of Theroem 2.1. Besides, we want to do more work on the problem, prove the convergence rate $O(\sqrt{\delta})$ is optimal. Thus We will submmit our new manuscript in some time later, therefore, we want to withdraw the paper