Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier--Stokes Equations
GUO Bo-Ling1, YANG Gan-Shan2,3, PU Xue-Ke4
1Institute of Applied Physics and Computational Mathematics, Nonlinear Center for Studies, PO Box 8009, Beijing 1000882Institute of Mathematics, Yunnan Normal University, Kunming 6500923Department of Mathematics, Yunnan Nationalities University, Kunming 6500314The Graduate School of China Academy of Engineering Physics, PO Box 2101, 100088 Beijing
Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier--Stokes Equations
GUO Bo-Ling1;YANG Gan-Shan2,3;PU Xue-Ke4
1Institute of Applied Physics and Computational Mathematics, Nonlinear Center for Studies, PO Box 8009, Beijing 1000882Institute of Mathematics, Yunnan Normal University, Kunming 6500923Department of Mathematics, Yunnan Nationalities University, Kunming 6500314The Graduate School of China Academy of Engineering Physics, PO Box 2101, 100088 Beijing
摘要We present some explicit self-similar blow-up solutions and some other solutions of the incompressible three-dimensional Navier--Stokes equations. These solutions indicate that in C∞ the solution of Navier--Stokes equations does not always tend to a solution of Euler equations.
Abstract：We present some explicit self-similar blow-up solutions and some other solutions of the incompressible three-dimensional Navier--Stokes equations. These solutions indicate that in C∞ the solution of Navier--Stokes equations does not always tend to a solution of Euler equations.
GUO Bo-Ling;YANG Gan-Shan;PU Xue-Ke. Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier--Stokes Equations[J]. 中国物理快报, 2008, 25(6): 2115-2117.
GUO Bo-Ling, YANG Gan-Shan, PU Xue-Ke. Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier--Stokes Equations. Chin. Phys. Lett., 2008, 25(6): 2115-2117.
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2008, Vol. 25 
