On the initial‐boundary value problem of the incompressible viscoelastic fluid system

On the initial‐boundary value problem of the incompressible viscoelastic fluid system
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DOI:
10.1002/cpa.20219
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发表时间:
2008-04
影响因子:
3
通讯作者:
F. Lin;Ping Zhang
F. Lin;Ping Zhang
中科院分区:
数学1区
文献类型:
--
作者:
F. Lin;Ping Zhang

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在本文中,我们将建立Oldroyd模型粘弹性流体系统初始边值问题的局部适定性。我们还将证明局部解可以扩展到全局,并且只要初始数据足够接近平衡状态,全局解就会随着时间趋于无穷大而以指数速度衰减。 © 2007 Wiley 期刊公司。
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.