Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit 被引量：3

Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit

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摘要 In this paper, we prove local and global existence of classical solutions for a system of equations concerning an incompressible viscoelastic fluid of Oldroyd-B type via the incompressible limit when the initial data are sufficiently small.

作者 Zhen LEI School of Mathematical Sciences, Fudan University, Shanghai 200433, China School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China.

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2006年第5期565-580,共16页 数学年刊（B辑英文版）

基金 Project supported by the National Natural Science Foundation of China (No. 10225102) the 973 Project of the Ministry of Science and Technology of China and the Doctoral Program Foundation of the Ministry of Education of China.

关键词 Incompressible limit Global existence Oldroyd model 不可压缩极限整体存在性 Oldroyd模型经典解

分类号 O175 [理学—基础数学]

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参考文献1

1P. 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

二级参考文献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.
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同被引文献2

1LE BRIS Claude,LELIVRE Tony.Micro-macro models for viscoelastic fluids： modelling, mathematics and numerics Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010[J].Science China Mathematics,2012,55(1):353-384. 被引量：2
2P. 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

引证文献3

1WANG KE-YAN.Weak Dissipative Structure for Compressible Navier-Stokes Equations[J].Communications in Mathematical Research,2010,26(4):375-384.
2Yong Lu,Milan Pokorny.Global Existence of Large DataWeak Solutions for a Simplified Compressible Oldroyd–B Model Without Stress Diffusion[J].Analysis in Theory and Applications,2020,36(3):348-372.
3Ruiying WEI,Yin LI,Zheng-an YAO.THE GLOBAL EXISTENCE AND A DECAY ESTIMATE OF SOLUTIONS TO THE PHAN-THEIN-TANNER MODEL[J].Acta Mathematica Scientia,2022,42(3):1058-1080.

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Chinese Annals of Mathematics,Series B

2006年第5期

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