Blow-up Solutions to a Viscoelastic Fluid System and a Coupled Navier–Stokes/Phase-Field System in R2
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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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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]. Chin. Phys. Lett., 2011, 28(6): 060206. DOI: 10.1088/0256-307X/28/6/060206
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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]. Chin. Phys. Lett., 2011, 28(6): 060206. DOI: 10.1088/0256-307X/28/6/060206
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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]. Chin. Phys. Lett., 2011, 28(6): 060206. DOI: 10.1088/0256-307X/28/6/060206
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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]. Chin. Phys. Lett., 2011, 28(6): 060206. DOI: 10.1088/0256-307X/28/6/060206
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