Blow up solutions to a viscoelastic fluid system and a coupled Navier-Stokes/Phase-Field system in R^2

Boling Guo; Haiyang Huang; Liyun Zhao

arxiv: 1101.2817 · v2 · pith:VMQ7OH3Qnew · submitted 2011-01-14 · 🧮 math-ph · math.MP

Blow up solutions to a viscoelastic fluid system and a coupled Navier-Stokes/Phase-Field system in R²

Liyun Zhao , Boling Guo , Haiyang Huang This is my paper

classification 🧮 math-ph math.MP

keywords solutionssystemblowcouplednavier-stokesphase-fieldexplicitfind

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We find explicit solutions to both the Oldroyd-B model with infinite Weissenberg number and the coupled Navier-Stokes/Phase-Field system. The solutions blow up in finite time.

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Blow up solutions to a viscoelastic fluid system and a coupled Navier-Stokes/Phase-Field system in R²

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