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Local Existence of Smooth Solutions to the FENE Dumbbell Model

Local Existence of Smooth Solutions to the FENE Dumbbell Model
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摘要 The author proves the local existence of smooth solutions to the finite extensible nonlinear elasticity (FENE) dumbbell model of polymeric flows in some weighted spaces if the non-dimensional parameter b > 2.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第4期501-520,共20页 数学年刊(B辑英文版)
关键词 Fokker-Planck equation FENE model Degenerate parabolic equations REGULARITY 哑铃模型 光滑解 解的存在性 非线性弹性 无量纲参数 加权空间 聚合体
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参考文献33

  • 1Arnold, A., Carrillo, J. A. and Manzini, C., Refined long-time asymptotics for some polymeric fluid flow models, Coramun. Math. Sci., 8(3), 2010, 763-782.
  • 2Barrett, J. W., Schwab, C. and Sfili, E., Existence of global weak solutions for some polymeric flow models, Math. Models Methods Appl. Sci., 15(6), 2005, 939-983.
  • 3Barrett, J. W. and Siili, E., Existence of global weak solutions to kinetic models of dilute polymers, Multiscale Model Simul., 6, 2007, 506- 546.
  • 4Barrett, J. W. and Siili, E., Existence of global weak solutions to dumbbell models for dilute polymers with microscopic cut-offl Math. Models Methods Appl. Sci., 18, 2008: 935-971.
  • 5Barrett, J. W. and Sfili, E., Existence of equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers, Math. Models Methods Appl. Sci., 21(6), 2011, 1211- 1289.
  • 6Bird, R. B., Curtiss, C., Armstrong, R. C., et al., Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory, Wiley Interseienee, New York, 1987.
  • 7Constantin, P. and Foias, C., Navier-Stokes Equations, The University of Chicago Press, Chicago, 1988.
  • 8Doi, M. and Edwards, S. F., The Theory of Polymer Dynamics, Oxford University Press, Oxford, 1986.
  • 9E, 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.
  • 10Friendman, A., Partial Differential Equation, Holt, Rinehart and Winston, New York, 1969.

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