数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (3): 778-790.doi: 10.1016/S0252-9602(18)30783-5

• 论文 • 上一篇    下一篇

EXACT SOLUTIONS FOR THE CAUCHY PROBLEM TO THE 3D SPHERICALLY SYMMETRIC INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

张建林1, 秦玉明2   

  1. 1. Department of Applied Mathematics, College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China;
    2. Department of Applied Mathematics, Donghua University, Shanghai 201620, China
  • 收稿日期:2017-01-01 修回日期:2017-05-14 出版日期:2018-06-25 发布日期:2018-06-25
  • 作者简介:Jianlin ZHANG,E-mail:mathzhangjianlin@hotmail.com;Yuming QIN,E-mail:yuming_qin@hotmail.com
  • 基金资助:

    The first author is supported by the Key Research Projects of Henan Higher Education Institutions (18A110036, 18A110038) and the second author is supported by the NNSF of China (11671075).

EXACT SOLUTIONS FOR THE CAUCHY PROBLEM TO THE 3D SPHERICALLY SYMMETRIC INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Jianlin ZHANG1, Yuming QIN2   

  1. 1. Department of Applied Mathematics, College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China;
    2. Department of Applied Mathematics, Donghua University, Shanghai 201620, China
  • Received:2017-01-01 Revised:2017-05-14 Online:2018-06-25 Published:2018-06-25
  • Supported by:

    The first author is supported by the Key Research Projects of Henan Higher Education Institutions (18A110036, 18A110038) and the second author is supported by the NNSF of China (11671075).

摘要:

In this article, we establish exact solutions to the Cauchy problem for the 3D spherically symmetric incompressible Navier-Stokes equations and further study the existence and asymptotic behavior of solution.

关键词: Navier-Stokes equations, asymptotic behavior, Riccati equation

Abstract:

In this article, we establish exact solutions to the Cauchy problem for the 3D spherically symmetric incompressible Navier-Stokes equations and further study the existence and asymptotic behavior of solution.

Key words: Navier-Stokes equations, asymptotic behavior, Riccati equation