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粘弹性材料中一类非线性方程组的整体经典解
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O175.27[理学—数学;理学—基础数学]
  • 作者机构：[1]华北水利水电学院数学系,郑州450011
  • 相关基金：国家自然科学基金（No.10571024）和河南省教育厅自然科学基金（No.2008A110011）资助的项目.
作者： 刘法贵[1]
关键词： CAUCHY问题, 粘弹性模型, 经典解, Cauchy problem, Viscoelasticity, Classical solution
中文摘要：

考虑具衰减记忆项的粘弹性材料中一类非线性方程组的Cauchy问题，在“大”初值条件下证明了经典解的整体存在性，给出了解在有限时间内产生奇性的充分条件，结果表明记忆具有耗散效应．

英文摘要：

The paper concerns with Cauchy problem for a nonlinear systems in viscoelasticity material with fading memory, and shows the existence of global calssical solutions to Cauehy problem with general ＇large＇ data, and gives a sufficient condition for developing singularities in the finite time. At the same time, for small fading memory, the author gives the estimates of life span of classical solution. It is shown that the memory effect produces the same result as the dissipation.

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非线性抛物双曲耦合方程组及其吸引子
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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264