线性粘弹性流体准静态问题的渐近性态
On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid
摘要：
本文利用最小状态的概念研究粘弹性流体的准静态问题。这意味着使用在更广泛的数据空间中定义的不同自由能。在这个新的空间中证明了存在性和唯一性，并得到了一个大类的记忆核，包括那些呈现指数或多项式衰减的非零供应问题的渐近衰减。
英文摘要：
In this paper we study the quasi-static problem for a viscoelastic fluid by means of the concept of minimal state. This implies the use of a different free energy defined in a wider space of data. The existence and uniqueness is proved in this new space and the asymptotic decay for the problem with non vanishing supplies is obtained for a large class of memory kernels, including those presenting an exponential or polynomial decay.
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