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

EXACT SOLUTIONS FOR THE CAUCHY PROBLEM TO THE 3D SPHERICALLY SYMMETRIC INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
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摘要 In this article, we establish exact solutions to the Cauchy problem for the 3 D spherically symmetric incompressible Navier-Stokes equations and further study the existence and asymptotic behavior of solution. In this article, we establish exact solutions to the Cauchy problem for the 3 D spherically symmetric incompressible Navier-Stokes equations and further study the existence and asymptotic behavior of solution.
作者 Jianlin ZHANG Yuming QIN 张建林;秦玉明(Department of Applied Mathematics, College of Science, Zhongyuan University of Technology;Department of Applied Mathematics, Donghua University)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2018年第3期778-790,共13页 数学物理学报(B辑英文版)
基金 supported by the Key Research Projects of Henan Higher Education Institutions(18A110036,18A110038) the second author is supported by the NNSF of China(11671075)
关键词 Navier-Stokes equations asymptotic behavior Riccati equation Navier-Stokes equations asymptotic behavior Riccati equation
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