Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (12): 1440-1449.
何幼桦, 施惟慧
收稿日期:
2000-03-15
修回日期:
2000-07-20
出版日期:
2000-12-18
发布日期:
2000-12-18
基金资助:
HE You-hua, SHI Wei-hui
Received:
2000-03-15
Revised:
2000-07-20
Online:
2000-12-18
Published:
2000-12-18
Supported by:
摘要: Applying the theory of stratification, the solution space structure about a class of deformed Navier-Stokes equation is determined. It is proved that such kind of equation has no Ck(k≥2) stable solution by the fact that the strate transversale is a null set.
中图分类号:
何幼桦;施惟慧. THE Ck INSTABILITY OF NAVIER-STOKES EQUATION APPEND-ING POLYNOMIALS OF UNKNOWN FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1440-1449.
HE You-hua;SHI Wei-hui. THE Ck INSTABILITY OF NAVIER-STOKES EQUATION APPEND-ING POLYNOMIALS OF UNKNOWN FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1440-1449.
[1] Landau L,Lifchitz E.M canique des Fluides[M].M oscou:M ir,1971. [2] Ride H.On planetary atmospheres and interiors[J].Mathematical in the Geophysical Science,Amer M ath Soc,Providence R I,1971. [3] TANG Yi-ming.The solution space structure of magnectic flux equation[A].In:DAI Shi-qiangEd.Modern Mathematics and Mechanics MMM-4[C].Shanghai:Shanghai University Press,1997,445~452.(in Chinese) [4] SHIH Wei-hui.Solutions Analytiques de Quelqu es quations aux Drives Partiellesen M caniquedes Fluides[M].Paris:Hermann,1992. [5] SHIH Wei-shu.Une remarque surles systmes d3 quations aux drives partielles analytiques relles0[J].C R Acad Sci Paris,S rie 1,1987,304(4):103~106. [6] SHIH Wei-shu.Une methodel mentaire pour l3 tude des quations aux d riv es partielles[J].Dia-grammes,Paris,1986,(16):1~89. [7] Trotmann D,Wilsom L.Singularities of Maps and Applications to Differential Equations[M].Paris:Hermann,1997. [8] CHEN Da-duan,LIU Xiao-ming.SHI Wei-hui.On the stability of forced dissipative nonlinear system[J].Applied Mathematics and Mechanics(English Edition),1996,17(6):541~548. [9] SHIH Wei-hui,CHEN Da-duan.On the instability of incompressible Helium-0 complete equation[A].In:CHIEN Wei-zang Ed.ICNM-Third International Conference on Nonlinear Mechanics[C].Shanghai:Shanghai University Press,1998,848~853. |
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