ON THE VISCOSITY SPLITT NG METHOD FOR INITIAL BOUNDARY VALUE PROBLEMS OF THE NAVIAR-STOKES EQUATIONS
Citation:
Ying Longan.ON THE VISCOSITY SPLITT NG METHOD FOR INITIAL BOUNDARY VALUE PROBLEMS OF THE NAVIAR-STOKES EQUATIONS[J].Chinese Annals of Mathematics B,1989,10(4):486~512
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Authors:
Ying Longan;
Foundation:
This Work was Supported by the Science Foundation of Academia Sicina under Grant (84)-103.
Abstract:
The viscosity splitting method for the Navier-Stokes equations on two dimensional multi-connected domains is considered. The equation is split into an Euler equation
and a non-stationary Stokes equation within each time step. The author proves the convergence theorem as he has done for the problem on simply connected domains, and the rato of convergence is improved from less than 1/4 to 1.