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

Citation:

Zhen LEI.Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit[J].Chinese Annals of Mathematics B,2006,27(5):565~580
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Authors:

Zhen LEI;

Foundation:

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.
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.

Keywords:

Incompressible limit, Global existence, Oldroyd model

Classification:

11R70, 11R11, 11R27
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