Acta Mathematica Sinica

, Volume 4, Issue 3, pp 210–226

Viscosity splitting method for three dimensional Navier-Stokes equations

  • Ying Lungan

DOI: 10.1007/BF02560577

Cite this article as:
Lungan, Y. Acta Mathematica Sinica (1988) 4: 210. doi:10.1007/BF02560577


Three dimensional initial boundary value problem of the Navier-Stokes equation is considered. The equation is split in an Euler equation and a non-stationary Stokes equation within each time step. Unlike the conventional approach, we apply a non-homogeneous Stokes equation instead of homogeneous one. Under the hypothesis that the original problem possesses a smooth solution, the estimate of theHs+1 norm, 0≦s<3/2, of the approximate solutions and the order of theL2 norm of the errors is obtained.

Copyright information

© Science Press 1988

Authors and Affiliations

  • Ying Lungan
    • 1
  1. 1.Department of MathematicsPeking UniversityBeijingChina

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