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Blow-up Solutions to a Viscoelastic Fluid System and a Coupled Navier–Stokes/Phase-Field System in R2 |
ZHAO Li-Yun1, GUO Bo-Ling2, HUANG Hai-Yang1**
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1School of Mathematical Sciences and Key Laboratory of Mathematics and Complex Systems (Ministry of Education), Beijing Normal University, Beijing 100875
2Nonlinear Center for Studies, Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088
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Cite this article: |
ZHAO Li-Yun, GUO Bo-Ling, HUANG Hai-Yang 2011 Chin. Phys. Lett. 28 060206 |
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Abstract The explicit solutions to both the Oldroyd-B model with an infinite Weissenberg number and the coupled Navier–Stokes/phase-field system are constructed by the method of separation of variables. It is found that the solutions blow up in finite time.
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Keywords:
02.30.Gp
02.30.Jr
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Received: 21 February 2011
Published: 29 May 2011
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