2025年5月14日 2:41 星期三
首页 > 过刊浏览>2014年第6卷第4期 >380-384
PDF HTML阅读 XML下载 导出引用 引用提醒
带阻尼项的欧拉-泊松方程组的爆破解
作者:
基金项目:

国家自然科学基金（11161021）


Blowup for Euler-Poisson Equations with damping
Author:
  • 摘要
    • | |
  • 访问统计
    • |
  • 参考文献
    • |
  • 相似文献
    • |
  • 引证文献
    • | |
  • 文章评论
    摘要:

    研究了N维空间中带阻尼项的欧拉-泊松方程组的径向对称解的爆破.当方程组非奇异的经典解（ρ，u）在[0，R]上有紧支集（R>0是正常数），且初始速度u满足一定的初值条件，借助积分法，其径向对称解会在有限时间内爆破.

    Abstract:

    The paper discusses the blowup problem for Euler-Poisson equations with damping in RN.By the integration method,under certain initial condition for initial velocity u,the non-trivial classical solutions (ρ,u)with compact support in [0,R],where R>0 is a positive constant,can blow up in the finite time.

    参考文献
    [1] Chen F F.Introduction to plasma physics and controlled fusion[M].New York:Kluwer Academic/Plenum Publishers,1984
    [2] Binney J,Tremaine S.Galactic dynamics[M].Princeton:Princeton University Press,1998
    [3] Shukla P K,Eliasson B.Colloquium:Nonlinear collective interactions in quantum plasmas with degenerate electron fluids[J].Reviews of Modern Physics,2011,83(3):885-906
    [4] Hachisu I,Kato M,Saio H,et al.A single degenerate progenitor model for type Ia supernovae highly exceeding the Chandrasekhar mass limit[J].The Astrophysical Journal,2012,744(1):69
    [5] Yuen M W.Analytically periodic solutions to the 3-dimensional Euler-Poisson equations of gaseous stars with a negative constant[J].Classical and Quantum Gravity,2009,26(23):235011/1-235011/8
    [6] Jang J.Nonlinear instability in gravitational Euler-Poisson systems for γ=6/5[J].Archive for Rational Mechanics and Analysis,2008,188(2):265-307
    [7] Yuen M W.Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars[J].Journal of Mathematical Analysis and Applications,2008,341(1):445-456
    [8] Chae D H,Tadmor E.On the finite time blow-up of the Euler-Poisson equations in RN[J].Communications in Mathematical Sciences,2008,6(3):785-789
    [9] Cheng B,Tadmor E.An improved local blow-up condition for Euler-Poisson equations with attractive forcing[J].Physica D:Nonlinear Phenomena,2009,238(20):2062-2066
    [10] Yuen M W.Stabilities for Euler-Poisson equations in some special dimensions[J].Journal of Mathematical Analysis and Applications,2008,344(1):145-156
    [11] Yuen M W.Blowup for the Euler and Euler-Poisson equations with repulsive forces[J].Nonlinear Analysis:Theory,Methods & Applications,2011,74(4):1465-1470
    [12] 朱旭生,熊显萍,涂爱花.带非线性阻尼项的等熵欧拉方程组的整体解[J].武汉大学学报:理学版,2011,57(2):93-99 ZHU Xusheng,XIONG Xianping,TU Aihua.The global solutions of the isentropic Euler equations with nonlinear damping[J].Journal of Wuhan University:Natural Science Edition,2011,57(2):93-99
    [13] Yuen M W.Blowup for the C1 solutions of the Euler-Poisson equations of gaseous stars in RN[J].Journal of Mathematical Analysis and Applications,2011,383(2):627-633
    相似文献
    引证文献
引用本文

张金娥,朱旭生.带阻尼项的欧拉-泊松方程组的爆破解[J].南京信息工程大学学报(自然科学版),2014,6(4):380-384
ZHANG Jine, ZHU Xusheng. Blowup for Euler-Poisson Equations with damping[J]. Journal of Nanjing University of Information Science & Technology, 2014,6(4):380-384

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2013-04-06
  • 在线发布日期: 2014-08-20

地址：江苏省南京市宁六路219号    邮编：210044

联系电话：025-58731025    E-mail：nxdxb@nuist.edu.cn

南京信息工程大学学报 ® 2025 版权所有  技术支持：北京勤云科技发展有限公司