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Kawahara方程初值问题修正能量的几乎守恒性质
  • ISSN号：1008-9020
  • 期刊名称：《甘肃高师学报》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]西北师范大学数学与信息科学学院,兰州 730070
  • 相关基金：国家自然科学基金（10471157,10671158）,甘肃省自然科学基金（3ZS061-A25-015）,甘肃省教育厅科研项目（0601-21）和西北师范大学创新工程资助项目（NWNU-KJCXGC-03-39）.
作者： 孙小春[1]
关键词： 自扩散, 交错扩散, 古典解, 整体存在性, 收敛性, self-diffusion, cross-diffusion, classical solutions, global existence, convergence
中文摘要：

应用能量估计方法和bootstrap技巧证明了空间维数不超过5时一类带自扩散和交错扩散项的三种群Lotka-Volterra食物链模型古典解的整体存在性。当反应函数的系数满足一定条件时通过构造Lyapunov函数给出了该模型解的收敛性。

英文摘要：

Using the energy methods and the bootstrap arguments, the global existence of classical solutions for a Lotka-Volterra food-chain model of three interacting species with self and cross-population pressure is proved when the space dimension is at most 5. Under certain conditions for the coefficients of the reaction functions, the convergence of solutions is established for the system by constructing Lyapunov function.

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期刊信息
  • 《甘肃高师学报》
  • 主管单位:甘肃省教育厅
  • 主办单位:兰州城市学院
  • 主编：莫超
  • 地址：甘肃兰州安宁区街坊路11号
  • 邮编：730070
  • 邮箱：gsgsxb28@sohu.com
  • 电话：0931-7601128
  • 国际标准刊号：ISSN：1008-9020
  • 国内统一刊号：ISSN：62-1139/G4
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:4107