On the initial‐boundary value problem of the incompressible viscoelastic fluid system |
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| Authors: | Fanghua Lin Ping Zhang |
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| Affiliation: | 1. Courant Institute, 251 Mercer Street, New York, NY 10012;2. Chinese Academy of Science, Academy of Mathematics and System Science, Beijing 100080, P.R. China |
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| Abstract: | In this paper, we shall establish the local well‐posedness of the initial‐boundary value problem of the viscoelastic fluid system of the Oldroyd model. We shall also prove that the local solutions can be extended globally and that the global solutions decay exponentially fast as time goes to infinity provided that the initial data are sufficiently close to the equilibrium state. © 2007 Wiley Periodicals, Inc. |
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