A VISCOSITY SPLITTING METHOD FOR THE INITIAL BOUNDARY VALUE PROBLEM OF THE NAVIER-STOKES EQUATION

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[1] Depantment of Mathematics
[2] Shandong University
[3] PRC
[4] Jinan 250100
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A VISCOSITY SPLITTING METHOD FOR THE INITIAL BOUNDARY VALUE PROBLEM OF THE NAVIER-STOKES EQUATION;
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Consider the initial boundary value problem of the Navier-Stokes equation: where Ω is a bounded domain of R~2 with smooth boundary (?)Ω. To calculate flow with high Reynold’s number, Ying Lung-an (Lecture Notes in Mathematics, 1297, pp. 184—202) proposed the viscosity splitting method that the equation was split into a nonlinear Euler equation and a nonstationary Stokes equation in each time step, and the convergence for the
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页码:1926 / 1927
页数:2
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