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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.
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 Global solution Oldroyd model Non-Newtonian flow 全局解 非牛顿流 纳维-斯托克斯方程 迁移方程
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参考文献2

  • 1R. J. DiPerna,P. L. Lions.Ordinary differential equations, transport theory and Sobolev spaces[J].Inventiones Mathematicae.1989(3) 被引量:1
  • 2Daniel D. Joseph,Michael Renardy,Jean-Claude Saut.Hyperbolicity and change of type in the flow of viscoelastic fluids[J].Archive for Rational Mechanics and Analysis.1985(3) 被引量:1

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