# Viscosity splitting method for three dimensional Navier-Stokes equations

- Received:

DOI: 10.1007/BF02560577

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

## Abstract

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 the*H*^{s+1} norm, 0≦*s*<3/2, of the approximate solutions and the order of the*L*^{2} norm of the errors is obtained.