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Mathematics of Computation

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Viscous splitting for the unbounded problem of the Navier-Stokes equations

Author: Lung-An Ying
Journal: Math. Comp. 55 (1990), 89-113
MSC: Primary 35Q30; Secondary 65N99, 76D05, 76D07
MathSciNet review: 1023053
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Abstract: The viscous splitting for the exterior initial-boundary value problems of the Navier-Stokes equations is considered. It is proved that the approximate solutions are uniformly bounded in the space ${L^\infty }(0,T;{H^{s + 1}}(\Omega ))$, $s < \frac {3}{2}$, and converge with a rate of $O(k)$ in the space ${L^\infty }(0,T;{H^1}(\Omega ))$, where k is the length of the time steps.

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Article copyright: © Copyright 1990 American Mathematical Society