On the convergence of viscoelastic fluid flows to a steady state
On the convergence of viscoelastic fluid flows to a steady state
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DOI：
10.57262/ade/1356651735
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发表时间：
2002-01
影响因子：
1.4
通讯作者：
Yinnian He;Yanping Lin;Semuel S. P. Shen;R. J. Tait
中科院分区：
文献类型：
--
作者：
Yinnian He;Yanping Lin;Semuel S. P. Shen;R. J. Tait
利用变分公式和不等式估计的方法研究了描述二维粘弹性流体运动的初始边值问题。在规定的条件下，证明了粘弹性流体稳态解的指数收敛性和幂收敛性。纳维-斯托克斯流的稳态解的收敛是结果的一个特例。
The initial-boundary value problems describing motion of a two-dimensional viscoelastic ∞uid are investigated by using the methods of variational formulation and inequality estimates. Both the exponen- tial and power convergence of the solutions to a steady state solution of the viscoelastic ∞uid ∞ows are proved under prescribed conditions. The convergences to a stead state solution of the Navier-Stokes ∞ows is a special case of the results.