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PARTIAL REGULARITY RESULT OF SUPERQUADRATIC ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS
  • ISSN号：2096-0174
  • 期刊名称：《应用数学年刊：英文版》
  • 时间：0
  • 分类：O151[理学—数学;理学—基础数学]
  • 作者机构：[1]湖南理工学院数学系,湖南岳阳414006, [2]厦门大学数学学院,福建厦门361005
  • 相关基金：Foundation item： The project supported by National Natural Science Foundation of China-NSAF（10976026）.
作者： Yalin Qiu
关键词： 渐近稳定, 行波解, 交通模型., Asymptotic stability, Traveling wave solutions, Traffic flow model.
中文摘要：

主要考虑下面的交通模型的行波解的渐近稳定性．{vt-ux=0 ut＋p（v）x=1/ε（f（v）-u）＋μuxx其中初始值为（v,u）（x,0）=（v0（x）,u0（x））→（v±,u±）,v±〉0,asx→±∞在允许流函数，不是凹函数以及初始值在无穷远处的极限不满足平衡方程的条件下，我们得到了稳定性定理．证明的方法主要是通过构造一对误差函数以及运用加权能量估计办法．

英文摘要：

Abstract In this paper, we consider the asymptotic stability of traveling wave solutions with shock profiles for the Cauchy problem for the following traffic flow model {vt-ux=0 ut＋p（v）x=1/ε（f（v）-u）＋μuxx with initial data （v,u）（x,0）=（v0（x）,u0（x））→（v±,u±）,v±〉0,asx→±∞.Stability theorem is obtained in the absence of the concavity of the flux function f and in theallowance of the limits （v±,u±） of the initial data at x=±∞ not satisfying the equilibrium equation, i.e., u±≠ f（v±）. The proofs are given by constructing a pair of correction functions and applying the weighted energy method.

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期刊信息
  • 《应用数学年刊：英文版》
  • 主管单位:
  • 主办单位:福州大学
  • 主编：
  • 地址：福州大学数学与计算机科学学院
  • 邮编：350002
  • 邮箱：
  • 电话：0591-87893244
  • 国际标准刊号：ISSN：2096-0174
  • 国内统一刊号：ISSN：35-1328/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）
  • 被引量:0