Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows

被引:10
|
作者
Bonito, Andrea [1 ]
Clement, Philippe
Picasso, Marco
机构
[1] Ecole Polytech Fed Lausanne, Inst Anal & Calcul Sci, CH-1015 Lausanne, Switzerland
[2] Leiden Univ, Inst Math, NL-2300 RA Leiden, Netherlands
[3] Delft Univ Technol, Fac EEMCS DIAM, NL-2600 GA Delft, Netherlands
关键词
D O I
10.1007/s00028-006-0251-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A stochastic model corresponding to a simplified Hookean dumbbells viscoelastic fluid is considered, the convective terms being disregarded. Existence on a fixed time interval is proved provided the data are small enough, using the implicit function theorem and a maximum regularity property for a three fields Stokes problem.
引用
收藏
页码:381 / 398
页数:18
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