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Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit*

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China

    Zhen Lei

  2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

    Zhen Lei

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  1. Zhen Lei
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Correspondence to Zhen Lei.

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*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.

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Lei, Z. Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit*. Chin. Ann. Math. Ser. B 27, 565–580 (2006). https://doi.org/10.1007/s11401-005-0041-z

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  • DOI: https://doi.org/10.1007/s11401-005-0041-z

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