Linear theory of nonisothermal forced elongation
Linear theory of nonisothermal forced elongation
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DOI：
10.1007/s00028-005-0205-z
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发表时间：
2005-08
影响因子：
1.4
通讯作者：
T. Hagen
中科院分区：
文献类型：
--
作者：
T. Hagen
本文分析了非等温强制延伸的线性化方程。结果表明，相关的边界初值问题的解决方案是由一个强连续的有界线性算子半群上的物理正确的状态空间和半群最终可微。通过两种补充方法证明了半群的正则性。虽然第一种方法是基于Pazy的经典结果的最终可微性，第二种方法提供了一个直接的论点。半群的正则性对应于拉伸流的预期物理行为。
In this work the linearized equations of nonisothermal forced elongation are analyzed. It is shown that solutions for the associated boundary-initial value problem are governed by a strongly continuous semigroup of bounded linear operators on the physically correct state space and that the semigroup is eventually differentiable. The regularity of the semigroup is proven via two complementing methods. Whilst the first method is based on Pazy’s classical result on eventual differentiability, the second method provides a direct argument. The regularity properties of the semigroup correspond to the expected physical behavior of the elongational flow.