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Exact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equations
Authors:Jianlin ZHANG  Yuming QIN
Institution:Department of Applied Mathematics, College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China;Department of Applied Mathematics, Donghua University, Shanghai 201620, China
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.
Keywords:Navier-Stokes equations  asymptotic behavior  Riccati equation  35Q30  35Q35  35D35  76N10  76N15
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