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Vlasov-Maxwell-F0kker-Planck方程组的极限问题
  • ISSN号：0583-1431
  • 期刊名称：《数学学报》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]中国科学院数学与系统科学研究院,北京100190, [2]南京大学数学系,南京210093, [3]北京工业大学应用数理学院,北京100022
  • 相关基金：国家自然科学基金资助项目（10431060,10501047,10771009）;北京市自然科学基金资助项目（1082001）
作者： 肖玲[1], 栗付才[2], 王术[3]
关键词： Vlasov-Maxwell-Fokker-Planck方程组, 电磁流体动力学方程组, 拟中性和粘性消失复合极限, Vlasov-Maxwell-Fokker-Planck system, electron magnetohydrodynamics equations, combined quasineutral and inviscid limit
中文摘要：

本文研究Vlasov—Maxwell-Fokker-Planck方程组的拟中性和粘性消失复合极限，证明了Vlasov-Maxwell-Fokker-Planck的重整化解到电磁流体方程组的强解的收敛性．主要结果的证明基于弱收敛紧性方法和相对熵方法．

英文摘要：

The combined quasineutral and inviscid limit for the Vlasov-Maxwell- Fokker-Planck system is rigorously derived in this paper. It is shown that the renormalized solution of Vlasov-Maxwell-Fokker-Planck system converges to the strong solution of the so-called electron magnetohydrodynamics equations. The proof of convergence result relies on the weak convergence compactness method and the relative-entropy method.

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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,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:9981