EXISTENCE AND UNIQUENESS OF THE CAUCHY PROBLEM FOR A GENERALIZED NAVIER-STOKES EQUATIONS

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摘要 We consider the Cauchy problem for a generalized Navier-Stokes equations with hyperdissipation, with the initial data in Lσ^p. We follow the theme of [1] but with more complicated analysis on the symbol and obtain the existence and uniqueness results.

作者 LiuXiaofeng

机构地区 TheInstituteofMathematics

出处《Journal of Partial Differential Equations》 2003年第3期266-274,共9页 偏微分方程（英文版）

关键词存在性唯一性柯西问题方程柔性解

分类号 O175 [理学—基础数学]

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1Fabes E B, Jones B F and Riviere N M. The initial value problem for the Navier-Stokes equations with data in Lp, Arch Ration Mech Anal, 45 (1972), 222-240.
2Tourville S. Existence and uniqueness of solutions for a modified Navier-Stokes equations in Rn, Comm Partial Differential Equations, 28 (1998), 97-121.
3McWilliams J. C., The emergence of isolated coherent vortices in turbulent flows, J Fluid Mech, 146 (1984), 21-43.
4Basdevant C, Legras B, Sadourny R and Beland M. A study of barotropic model flows:intermittency, waves, and predictability, J. Atmospheric Sci, 38 (1981), 2305-2326.
5Browning G L and Kreiss H O. Comparison of numerical methods for the calculation of two-dimensional turbulence, Math Comp, 52 (1989), 369-388.
6Fornberg B. A numerical study of two-dimensional turbulence, J Comput Phys, 25(1977), 1-31.
7Stein E M. Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970.

1Kang Feng,Dao-liu Wang (State Key Laboratory of Scientific and Engineering Computing, ICMSEC, Chinese Academy of Sciences, Beijing 100080, China).VARIATIONS ON A THEME BY EULER[J].Journal of Computational Mathematics,1998,16(2):97-106. 被引量：2
2Zhang Ting Fang Daoyuan.EXISTENCE AND UNIQUENESS RESULTS FOR VISCOUS, HEAT-CONDUCTING 3-D FLUID WITH VACUUM[J].Journal of Partial Differential Equations,2008,21(4):347-376. 被引量：1
3Dimplekumar,N. CHALISHAJAR,K. KARTHIKEYAN.EXISTENCE AND UNIQUENESS RESULTS FOR BOUNDARY VALUE PROBLEMS OF HIGHER ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING GRONWALL'S INEQUALITY IN BANACH SPACES[J].Acta Mathematica Scientia,2013,33(3):758-772. 被引量：2
4Shipeng Wang,Shude Liu (Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui).EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR THIRD-ORDER BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2009,25(3):348-355.
5H.Strauss.UNIFORM RECIPROCAL APPROXIMATION SUBJECT TO COEFFICIENT CONSTRAINTS[J].Analysis in Theory and Applications,1992,8(2):89-102.
6张石生,向淑文.ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS[J].Applied Mathematics and Mechanics(English Edition),1991,12(5):425-431.
7Mujeeb ur Rehman,Rahmat Ali Khan,Naseer Ahmad Asif.THREE POINT BOUNDARY VALUE PROBLEMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2011,31(4):1337-1346. 被引量：1
8LiuGuoqing,FuDongsheng,ShenZuhe.PERIODIC BOUNDARY VALUE PROBLEM OF QUASILINEAR SYSTEM[J].Applied Mathematics(A Journal of Chinese Universities),2001,16(4):345-354.
9Guo Zongming Yang Zuodong (Department of Mathematics,Henan Normal University,Xinxiang 453002,China).Some Uniqueness Results for a Class of Quasilinear Elliptic Eigenvalue Problems[J].Acta Mathematica Sinica,English Series,1998,14(2):245-260. 被引量：7
10T. A. ANGELOV.Variational analysis of thermomechanically coupled steady-state rolling problem[J].Applied Mathematics and Mechanics(English Edition),2013,34(11):1361-1372. 被引量：1

Journal of Partial Differential Equations

2003年第3期

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EXISTENCE AND UNIQUENESS OF THE CAUCHY PROBLEM FOR A GENERALIZED NAVIER-STOKES EQUATIONS

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