Some remarks on a quasi-steady-state approximation of the Navier-Stokes equation.

Autor: Cannon, John R., Knightly, George H.
Zdroj: Journal of the Australian Mathematical Society Series B: Applied Mathematics; Apr1988, Vol. 29 Issue 4, p440-447, 8p
Abstrakt: A quasi-steady-state apprcncimation to the Navier-Stokes equation is the corresponding equation with nonhomogeneous forcing term f(x, t), but with the term Vt deleted. For solutions that are zero on the boundary, the difference z between the solution of the Navier-Stokes equation and the solution of this quasi-steady-state approximation is estimated in the L2 norm ║z║ with respect to the spatial variables. For sufficiently large viscosity or sufficiently small body force f, the inequalityholds for 0 < t ≤ T and certain real numbres C, β > 0. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index