EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR TWO-DIMENSIONAL MODIFIED NAVIER-STOKES EQUATIONS

EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR TWO-DIMENSIONAL MODIFIED NAVIER-STOKES EQUATIONS

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摘要 This paper studies a two-dimensional modified Navier-stokes equations. The author shows the existence and uniqueness of weak solutions for this equation by Galerkin method in bounded domains. The result is further extended to the case of unbounded channel-like domains. This paper studies a two-dimensional modified Navier-stokes equations. The author shows the existence and uniqueness of weak solutions for this equation by Galerkin method in bounded domains. The result is further extended to the case of unbounded channel-like domains.

作者赵才地

机构地区 Dept. of Math and Information Science

出处《Annals of Differential Equations》 2004年第4期429-437,共9页 微分方程年刊（英文版）

基金 SupportedbyZhejiangProvinceNSFwithitemM103043andWZNCNSFwithitem2003Y16.

关键词 weak solution modified Navier-Stokes equations existence and uniqueness weak solution, modified Navier-Stokes equations, existence and uniqueness

分类号 O242.1 [理学—计算数学]

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1A. E. Green,R. S. Rivlin.Multipolar continuum mechanics[J].Archive for Rational Mechanics and Analysis.1964(2)

1姜金平,侯延仁.Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains[J].Applied Mathematics and Mechanics(English Edition),2010,31(6):697-708.
2胡璋剑.Estimates for the integral mean of harmonic functions on bounded domains in R^n[J].Science China Mathematics,1995,38(1):36-46. 被引量：4
3张恭庆,蒋美跃.Parabolic equations and Feynman-Kac formula on general bounded domains[J].Science China Mathematics,2001,44(3):311-329.
4吴兰芳,许以超.HOLOMORPHIC SECTIONAL CURVATURES OF HOMOGENEOUS BOUNDED DOMAINS[J].Chinese Science Bulletin,1983,28(5):592-596. 被引量：1
5Rinaldo M.COLOMBO,Elena ROSSI.RIGOROUS ESTIMATES ON BALANCE LAWS IN BOUNDED DOMAINS[J].Acta Mathematica Scientia,2015,35(4):906-944.
6ZHAO CHUNSHAN, LI KAITAI School of Science, Xi’an Jiaotong University, Xi’an 710049, China..EXISTENCE AND UNIQUENESS OF STRONG PERIODIC SOLUTION OF THE EVOLUTION SYSTEM DESCRIBING GEOPHYSICAL FLOW-PART I: IN BOUNDED DOMAINS[J].Chinese Annals of Mathematics,Series B,2001,22(3):385-396. 被引量：1
7姚宗元,邱春晖,钟春平.A new Leray formula for smooth functions on bounded domains in C^n[J].Science China Mathematics,2002,45(5):610-619.
8E.M.E.Zayed (Mathematics Department,Faculty of Science,Zagazig University,Zagazig,Egypt).Eigenvalues of the Negative Laplacian for Simply Connected Bounded Domains[J].Acta Mathematica Sinica,English Series,1997,13(3):337-346.
9李美生,保继光.POSITIVE SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS ON GENERAL BOUNDED DOMAINS[J].Journal of Partial Differential Equations,2001,14(2):111-116.
10Gregory A.CHECHKIN,Rustem R.GADYL’SHIN.On Boundary-Value Problems for the Laplacian in Bounded Domains with Micro Inhomogeneous Structure of the Boundaries[J].Acta Mathematica Sinica,English Series,2007,23(2):237-248.

Annals of Differential Equations

2004年第4期

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EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR TWO-DIMENSIONAL MODIFIED NAVIER-STOKES EQUATIONS

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