Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (12): 1440-1449.

• Articles • Previous Articles     Next Articles

THE Ck INSTABILITY OF NAVIER-STOKES EQUATION APPEND-ING POLYNOMIALS OF UNKNOWN FUNCTIONS

HE You-hua, SHI Wei-hui   

  1. Department of Mathematics, Shanghai University, Shanghai 210800, P. R. China
  • Received:2000-03-15 Revised:2000-07-20 Online:2000-12-18 Published:2000-12-18
  • Supported by:
    the National Natural Science Foundation of China(19971054),Shanghai Natural Science Foundation(99ZA14034)

Abstract: 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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals