Viscosity splitting method for three dimensional Navier-Stokes equations
- 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.