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Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit 被引量:2

Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit
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摘要 在这篇论文,我们证明本地;有关经由不可压缩的限制的 Oldroyd-B 类型的不可压缩的粘弹性的液体的方程的一个系统的古典解决方案的全球存在当起始的数据是足够地小的时。 In this paper, we prove local and global existence of classical solutions for a system of equations concerning an incompressible viscoelastic fluid of Oldroyd-B type via the incompressible limit when the initial data are sufficiently small.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2006年第5期565-580,共16页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (No. 10225102) the 973 Project of the Ministry of Science and Technology of China and the Doctoral Program Foundation of the Ministry of Education of China.
关键词 不可压缩极限 整体存在性 Oldroyd模型 经典解 Incompressible limit, Global existence, Oldroyd model
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  • 1R. J. DiPerna,P. L. Lions.Ordinary differential equations, transport theory and Sobolev spaces[J].Inventiones Mathematicae.1989(3)
  • 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)

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