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**
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
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**
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
摘要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.
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.
ZHAO Li-Yun;GUO Bo-Ling;HUANG Hai-Yang**
. Blow-up Solutions to a Viscoelastic Fluid System and a Coupled Navier–Stokes/Phase-Field System in R2[J]. 中国物理快报, 2011, 28(6): 60206-060206.
ZHAO Li-Yun, GUO Bo-Ling, HUANG Hai-Yang**
. Blow-up Solutions to a Viscoelastic Fluid System and a Coupled Navier–Stokes/Phase-Field System in R2. Chin. Phys. Lett., 2011, 28(6): 60206-060206.
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2011, Vol. 28 
