ON THE FORMAL SOLUTION OF INITIAL VALUE PROBLEM OF NAVIER-STOKES EQUATION 被引量：1

ON THE FORMAL SOLUTION OF INITIAL VALUE PROBLEM OF NAVIER-STOKES EQUATION

下载PDF

导出

摘要 A necessary and sufficient conditions of the existence of formal solution to the initial value problem of Navier-Stokes equation an R-3 x R are presented. A computation case is also given. A necessary and sufficient conditions of the existence of formal solution to the initial value problem of Navier-Stokes equation an R-3 x R are presented. A computation case is also given.

作者陈达段施惟慧

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第12期1432-1439,共8页 应用数学和力学（英文版）

基金 theNationalNaturalScienceFoundationofChina(1 9971 0 5 4) ShanghaiNatu ralScienceFoundation (99ZA1 40 34)

关键词 Navier-Stokes equation formal solution STRATIFICATION equation secondaire Navier-Stokes equation formal solution stratification equation secondaire

分类号 O175 [理学—基础数学]

引文网络
相关文献

同被引文献5

1何幼桦,施惟慧.THE C^k INSTABILITY OF NAVIER-STOKES EQUATION APPEND-ING POLYNOMIALS OF UNKNOWN FUNCTIONS[J].Applied Mathematics and Mechanics(English Edition),2000,21(12):1440-1449. 被引量：3
2陈达段,施惟慧.Navier-Stokes方程初值问题的形式解[J].应用数学和力学,2000,21(12):1293-1300. 被引量：1
3何幼桦,施惟慧.带未知函数多项式附加项的Navier-Stokes方程的C^k不稳定性[J].应用数学和力学,2000,21(12):1301-1309. 被引量：5
4陈达段,何幼桦.非静力旋转流体方程初值问题的适定性[J].应用数学和力学,2004,25(3):262-270. 被引量：7
5陈达段,何幼桦.ON THE WELL-POSEDNESS OF THE INITIAL VALUE PROBLEM OF NON-STATIC ROTATING FLUID[J].Applied Mathematics and Mechanics(English Edition),2004,25(3):288-296. 被引量：1

引证文献1

1张勤涛,何幼桦,唐一鸣.Stability for heat-salt circulation equations by means of the stratification theory[J].Journal of Shanghai University(English Edition),2007,11(4):359-364. 被引量：1

二级引证文献1

1胡玉林,陈基明,何幼桦.On the stability of an ENSO model[J].Journal of Shanghai University(English Edition),2009,13(2):129-135.

1潘佳庆.THE PROPERTIES OF MODIFIED NAVIER-STOKES EQUATION[J].Annals of Differential Equations,2000,16(1):49-55.
2Donghong (College of Sciences, Shanghai University).Local Analytic Solutions of Complete Equations for Mixed Fluid[J].Advances in Manufacturing,1999(2):21-29.
3F.M.ABBASI,S.A.SHEHZAD,T.HAYAT,M.S.ALHUTHALI.Mixed convection flow of jeffrey nanofluid with thermal radiation and double stratification[J].Journal of Hydrodynamics,2016,28(5):840-849. 被引量：2
4WANG Heyuan,LI Kaitai.A Five-Dimensional System of Navier-Stokes Equation for a Two-Dimensional Incompressible Fluid on a Torus[J].Journal of Partial Differential Equations,2016,29(4):255-268.
5R. Grimshaw.THE SOLITARY WAVES IN STRATIFIED SHEAR FLOW[J].Acta Mechanica Sinica,1989,5(1):37-48.
6Chen Hua, He Jin-chun School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China.An Exact Formal Solution to Reaction-Diffusion Equations from Biomathematics[J].Wuhan University Journal of Natural Sciences,2002,7(2):127-132.
7崔宏斌,郑崇友.ON STRUCTURE OF STRATIFICATION-PRESERVING FUZZY ORDER HOMOMORPHISM AND ANOTHER DEFINITION OF FUZZY HOMEOMORPHISM[J].Chinese Science Bulletin,1988,33(6):463-466.
8何幼桦,施惟慧.THE C^k INSTABILITY OF NAVIER-STOKES EQUATION APPEND-ING POLYNOMIALS OF UNKNOWN FUNCTIONS[J].Applied Mathematics and Mechanics(English Edition),2000,21(12):1440-1449. 被引量：3
9王曰朋,沈春.Formal solution of ill-posedness initial-boundary value problem for Euler equations of compressible adiabatic inviscid fluid flow[J].Journal of Shanghai University(English Edition),2008,12(1):35-38.
10I.F.Barna.Self-Similar Solutions of Three-Dimensional Navier-Stokes Equation[J].Communications in Theoretical Physics,2011,56(10):745-750.

Applied Mathematics and Mechanics(English Edition)

2000年第12期

浏览历史

内容加载中请稍等...

ON THE FORMAL SOLUTION OF INITIAL VALUE PROBLEM OF NAVIER-STOKES EQUATION 被引量：1

同被引文献5

引证文献1

二级引证文献1

相关作者

相关机构

相关主题

浏览历史