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一维磁流体力学方程组经典解的生命区间
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 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：国家自然科学基金资助项目（10571024）;河南省自然科学基金资助项目（200510078005）;河南省教育厅科学基金资助项目（200511051700）
作者： 刘法贵[1]
关键词： 磁流体力学方程组, CAUCHY问题, 经典解, 耗散机制, 生命区间, hydromagnetic flow, Cauchy problem, classical solution, life-span
中文摘要：

考虑具耗散项的一维磁流体力学方程组Cauchy问题．对于非耗散情形证明了如果初始能量和磁场强度弱于声波的能量，则Cauchy问题的光滑解在有限时间内破裂；对于耗散情形，如果初始能量、磁场强度和耗散强度弱于声波的能量，则Cauchy问题的光滑解在有限时间内破裂，而且给出了生命区间估计．

英文摘要：

The Cauchy problem for one dimensional hydromagnetic dynamics with dissipative terms is concerned with. For the case of non-dissipation, it is shown that the smooth solutions will develop shocks in the finite time, if the initial amounts of entropy and the ‘ magnetic field＇ is smaller than that of sound waves. And for the case of dissipation, the initial amounts of entropy, dissipative effect and the ‘ magnetic field＇ in each period is maller than that of sound waves. Then the smooth solutions must blow up in the finite time.Moreover, the life-span of smooth solution is given.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,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:8965