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
2009-01-01

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
dispersive estimates; acoustic pressure waves; incompressible fluid
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/3427
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 1
social impact