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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 |
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GUO Bo-Ling, YANG Gan-Shan, PU Xue-Ke 2008 Chin. Phys. Lett. 25 2115-2117 |
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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.
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47.10.Ad
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Received: 09 January 2008
Published: 31 May 2008
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| PACS: |
47.10.ad
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(Navier-Stokes equations)
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[1] Xin Z P 1998 Comm. Pure Appl. Math. 51 229
[2] Tsai T P 1998 Arch. Rational Mech. Anal. 14329
[3] Caffarelli L, Kohn R and Nirenberg L 1982 Comm. PureAppl. Math. 35 771
[4] Tian G and Xin Z P 1998 Top. Meth. Nonlin. Anal. 11 135
[5]Yoshio S 2006 Molecular Gas Dynamics: Theory,Techniques and Applications (Boston: Birkhauser) |
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