Micro-macro models for viscoelastic fluids： modelling, mathematics and numerics Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010 被引量：2

Micro-macro models for viscoelastic fluids： modelling, mathematics and numerics Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010

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摘要 This paper is an introduction to the modelling of viscoelastic fluids, with an emphasis on micromacro （or multiscale） models. Some elements of mathematical and numerical analysis are provided. These notes closely follow the lectures delivered by the second author at the Chinese Academy of Science during the Workshop ＂Stress Tensor Effects on Fluid Mechanics＂ in January 2010.

作者 LE BRIS Claude LELIVRE Tony

机构地区 CERMICS INRIA Rocquencourt

出处《Science China Mathematics》 SCIE 2012年第1期353-384,共32页 中国科学：数学（英文版）

关键词 viscoelastic fluids micro-macro models entropy methods Monte Carlo methods 国家自然科学基金委员会粘弹性流体法国国家科学研究中心中国科学院宏观模型力学研究所数值计算数学

分类号 O357 [理学—流体力学] G311 [理学—力学]

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参考文献2

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共引文献13

1LE BRIS Claude,LELIVRE Tony.Micro-macro models for viscoelastic fluids:modelling,mathematics and numerics[J].Science China Mathematics,2012,55(2):353-384.
2邱训源.巴黎和法兰西岛概况[J].国外城市规划,2004,19(5):38-43. 被引量：2
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5Zhen LEI School of Mathematical Sciences, Fudan University, Shanghai 200433, China,School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China..Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit[J].Chinese Annals of Mathematics,Series B,2006,27(5):565-580. 被引量：3
6洪庆明.路易十四时代的文化控制策略[J].史林,2011(6):155-164. 被引量：11
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10张秋月.带有分数阶耗散的三维广义Oldroyd-B模型的整体正则性[J].数学物理学报（A辑）,2019,39(5):1125-1135.

同被引文献3

1Zhen LEI School of Mathematical Sciences, Fudan University, Shanghai 200433, China,School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China..Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit[J].Chinese Annals of Mathematics,Series B,2006,27(5):565-580. 被引量：3
2方建农,范西俊.聚合物分子模型的Brown动力学模拟[J].力学进展,1999,29(1):112-120. 被引量：6
3P. L. LIONS (CEREMADE-UMR C.N.R.S. 7534, Universite Paris 9-Dauphine, Place du Marechal de Lattre de Tassigny, 75775 Paris Cedex 16, France.) N. MASMOUDI (CEREMADE-UMR C.N.R.S. 7534, Universite Paris 9-Dauphine, Place du Marechal de Lattre de Tassign.GLOBAL SOLUTIONS FOR SOME OLDROYD MODELS OF NON-NEWTONIAN FLOWS[J].Chinese Annals of Mathematics,Series B,2000,21(2):131-146. 被引量：14