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The Global Existence of Small Solutions to the Oldroyd-B Model

The Global Existence of Small Solutions to the Oldroyd-B Model
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摘要 The Cauchy problem to the Oldroyd-B model is studied.In particular,it is shown that if the smooth solution (u,τ) to this system blows up at a finite time T~*,then 0~T~*u(t) L∞dt = ∞.Furthermore,the global existence of smooth solution to this system is given with small initial data.
作者 Wenjing ZHAO
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2011年第2期215-222,共8页 数学年刊(B辑英文版)
关键词 Cauchy problem Oldroyd-B model Global existence 整体存在性 Cauchy问题 B型 有限时间 B模型 系统
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  • 1Beale, J. T., Kato, T. and Majda, A., Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Comm. Math. Phys., 94(1), 1984, 61-66.
  • 2Bird, R. B., Armstrong, R. C. and Hassager, O., Fluid Mechanics, Dynamics of Polymeric Liquids, Vol. 1, John Wiley and Sons, New York, 1987.
  • 3Chemin, J. Y. and Masmoudi, N., About lifespan of regular solutions of equations related to viscoelastic fluids, SIAM d. Math. Anal., 33(1), 2001, 84-112.
  • 4Chen, Y. and Zhang, P., The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions, Comm. Part. Diff. Eqs., 31(10-12), 2006, 1793-1810.
  • 5de Gennes, P. G. and Prost, J., The Physics of Liquid Crystals, Oxford University Press, New York, 1993.
  • 6E, W. N., Li, T. J. and Zhang, P. W., Well-posedness for the dumbbell model of polymeric fluids, Comm. Math. Phys., 248(2), 2004, 409-427.
  • 7Priendmem, A., Partial Differential Equations, Holt, Rinehart and Winston, New York, 1969.
  • 8Guillope, C. and Saut, J.-C., Existence results for the flow of viscoelastic fluids with a differential consti- tutive law, Nonlinear Anal., 15(9), 1990, 849-869.
  • 9Heywood, J. G., The Navier-Stokes equations: on the existence, regularity and decay of solutions, Indiana Univ. Math. J., 29(5), 1980, 639-681.
  • 10Larson, R. G., The Structure and Rheology of Complex Fluids, Oxford University Press, New York, 1995.

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