The paper is devoted to the analysis of weak solutions of exterior problem for Navier-Stokes equations. It is stated that it is necessary to use a weak solution because the speed of acoustic waves in compressible models approximating Navier-Stokes equations tends to infinity. A definition of the weak solution is given. It is proved that a weak solution may be obtained as a limiting solution for a system with artificial compressibility and as a limiting solution for a Navier-Stokes-Poisson system. The first system is used for numerical calculations. The second system describes a real physical model. Some estimates for weak solutions are given.

Applications of dispersive estimates to the acoustic pressure waves for incompressible fluid problems

MARCATI, PIERANGELO
2009

Abstract

The paper is devoted to the analysis of weak solutions of exterior problem for Navier-Stokes equations. It is stated that it is necessary to use a weak solution because the speed of acoustic waves in compressible models approximating Navier-Stokes equations tends to infinity. A definition of the weak solution is given. It is proved that a weak solution may be obtained as a limiting solution for a system with artificial compressibility and as a limiting solution for a Navier-Stokes-Poisson system. The first system is used for numerical calculations. The second system describes a real physical model. Some estimates for weak solutions are given.
978-0-8218-4729-9
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/3427
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