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GLOBAL SOLUTIONS FOR SOME OLDROYD MODELS OF NON-NEWTONIAN FLOWS 被引量:14

GLOBAL SOLUTIONS FOR SOME OLDROYD MODELS OF NON-NEWTONIAN FLOWS
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摘要 The authors consider here some Oldroyd models of non-Newtonian flows consisting of a strong coupling between incompressible Navier-Stokes equations and some transport equations. It is proved that there exist global weak solutions for general initial conditions. The existence proof relies upon showing the propagation in time of the compactness of solutions. The authors consider here some Oldroyd models of non-Newtonian flows consisting of a strong coupling between incompressible Navier-Stokes equations and some transport equations. It is proved that there exist global weak solutions for general initial conditions. The existence proof relies upon showing the propagation in time of the compactness of solutions.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2000年第2期131-146,共16页 数学年刊(B辑英文版)
关键词 全局解 非牛顿流 纳维-斯托克斯方程 迁移方程 Global solution, Oldroyd model, Non-Newtonian flow
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参考文献2

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同被引文献29

  • 1HUANG XiangDi 1 & XIN ZhouPing 2, 1 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China 2 Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, China.A blow-up criterion for classical solutions to the compressible Navier-Stokes equations[J].Science China Mathematics,2010,53(3):671-686. 被引量:13
  • 2HuiZhang Ping-wenZhang.A THEORETICAL AND NUMERICAL STUDY FOR THE ROD-LIKE MODEL OF A POLYMERIC FLUID[J].Journal of Computational Mathematics,2004,22(2):319-330. 被引量:1
  • 3张建华.亚洲地区中东原油溢价问题探讨[J].国际石油经济,2005,13(1):45-47. 被引量:9
  • 4Zhen LEI School of Mathematical Sciences, Fudan University, Shanghai 200433, China,School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China..Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit[J].Chinese Annals of Mathematics,Series B,2006,27(5):565-580. 被引量:2
  • 5S. Boyaval,C. Le?Bris,T. Lelièvre,Y. Maday,N. C. Nguyen,A. T. Patera.Reduced Basis Techniques for Stochastic Problems[J].Archives of Computational Methods in Engineering.2010(4)
  • 6C. Le Bris,T. Lelièvre,Y. Maday.Results and Questions on a Nonlinear Approximation Approach for Solving High-dimensional Partial Differential Equations[J].Constructive Approximation.2009(3)
  • 7P. Constantin,Nader Masmoudi.Global Well-Posedness for a Smoluchowski Equation Coupled with Navier-Stokes Equations in 2D[J].Communications in Mathematical Physics.2008(1)
  • 8Fanghua Lin,Ping Zhang,Zhifei Zhang.On the Global Existence of Smooth Solution to the 2-D FENE Dumbbell Model[J].Communications in Mathematical Physics.2008(2)
  • 9P. Constantin,C. Fefferman,E. S. Titi,A. Zarnescu.Regularity of Coupled Two-Dimensional Nonlinear Fokker-Planck and Navier-Stokes Systems[J].Communications in Mathematical Physics.2007(3)
  • 10Andrea Bonito,Philippe Clément,Marco Picasso.Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows[J].Journal of Evolution Equations.2006(3)

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