Applied Mathematics and Mechanics

, Volume 21, Issue 12, pp 1440–1449 | Cite as

TheC k instability of navier-Stokes equation appending polynomials of unknown functions

  • He You-hua
  • Shi Wei-hui


Applying the theory of stratification, the solution space structure about a class of deformed Navier-Stokes equation isdetermined. 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.

Key words

Navier-Stokes equation unstable equation strate transversale 

CLC number



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2000

Authors and Affiliations

  • He You-hua
    • 1
  • Shi Wei-hui
    • 1
  1. 1.Department of MathematicsShanghai UniversityShanghaiP R China

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