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A Blow-up Criterion and Existence Result on Hydrodynamics of Viscoelastic Fluids(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年03期
Page:
6-9
Research Field:
数学
Publishing date:

Info

Title:
A Blow-up Criterion and Existence Result on Hydrodynamics of Viscoelastic Fluids
Author(s):
Fan Jishan1; Gao Hongjun2
1.College of Information Sciences and Technology,Nanjing Forestry University,Nanjing 210037,China
2. School ofMathematics and Computer Science,Nanjing Normal University, Nanjing 210097, China
Keywords:
viscoelastic fluids;  Oldroyd system;  blow2up criterion;  strong solutions
PACS:
O175.29;O357
DOI:
-
Abstract:
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References:

[ 1 ] 　L in F H, L iu C, Zhang P. On hydrodynamics of viscoelastic fluids[ J ]. Comm Pure App lMath, 2005, LVⅢ: 1 437-1 471.
[ 2 ] 　Beale J T, Kato T, Majda A. Remarks on the breakdown of smooth solutions for the 3 - D Euler equations[ J ]. Commun Math Phys, 1984, 94: 61-66.
[ 3 ] 　Kato T, Ponce G. Commutator estimates and the Euler and Navier-Stokes equations [ J ]. Comm Pure App lMath, 1988, XL I: 891-907.
[ 4 ] 　Temam R. Navier-Stokes Equations[M ]. Amsterdam: North2Holland, 1977.

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Memo:
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Last Update: 2013-05-05