数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (5): 1681-1702.doi: 10.1016/S0252-9602(12)60134-9

• 论文 •    下一篇

POINTWISE ESTIMATES OF SOLUTION FOR NON-ISENTROPIC NAVIER-STOKES-POISSON EQUATIONS IN MULTI-DIMENSIONS

吴志刚1|王维克2*   

  1. 1.Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China; 2.Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • 收稿日期:2011-06-29 出版日期:2012-09-20 发布日期:2012-09-20
  • 通讯作者: 王维克,wkwang@sjtu.edu.cn E-mail:mathzgwu@yahoo.com.cn;wkwang@sjtu.edu.cn
  • 基金资助:

    The research of Z.G. Wu was supported by National Natural Science Foundation of China (11101112), and the research of W.K. Wang was supported by National Natural Science Foundation of China (11071162).

POINTWISE ESTIMATES OF SOLUTION FOR NON-ISENTROPIC NAVIER-STOKES-POISSON EQUATIONS IN MULTI-DIMENSIONS

 WU Zhi-Gang1, WANG Wei-Ke2*   

  1. 1.Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China; 2.Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2011-06-29 Online:2012-09-20 Published:2012-09-20
  • Contact: WANG Wei-Ke,wkwang@sjtu.edu.cn E-mail:mathzgwu@yahoo.com.cn;wkwang@sjtu.edu.cn
  • Supported by:

    The research of Z.G. Wu was supported by National Natural Science Foundation of China (11101112), and the research of W.K. Wang was supported by National Natural Science Foundation of China (11071162).

摘要:

The Cauchy problem of the non-isentropic Navier-Stokes-Poisson equations in multi-dimensions is considered. The global existence and pointwise estimates of the classical solution are given, which extend the optimal decay rate in L2-norm in [27] to the Lp(Rn) (p > n/n−1 )-norm.

关键词: hyperbolic-parabolic-elliptic system, Greens function

Abstract:

The Cauchy problem of the non-isentropic Navier-Stokes-Poisson equations in multi-dimensions is considered. The global existence and pointwise estimates of the classical solution are given, which extend the optimal decay rate in L2-norm in [27] to the Lp(Rn) (p > n/n−1 )-norm.

Key words: hyperbolic-parabolic-elliptic system, Greens function

中图分类号: 

  • 53A08