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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, 210800, Shanghai, P R China

    He You-hua Lecturer & Shi Wei-hui

Authors
  1. He You-hua Lecturer
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  2. Shi Wei-hui
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Communicated by CHIEN Wei-zang

Foundation item: the National Natural Science Foundation of China (19971054), Shanghai Natural Science Foundation (99ZA14034)

Biography: HE You-hua (1960-)

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You-hua, H., Wei-hui, S. TheC k instability of navier-Stokes equation appending polynomials of unknown functions. Appl Math Mech 21, 1440–1449 (2000). https://doi.org/10.1007/BF02459223

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  • DOI: https://doi.org/10.1007/BF02459223

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