Mathematics – Analysis of PDEs
Scientific paper
2009-02-03
Mathematics
Analysis of PDEs
22 pages
Scientific paper
In this paper we study the Leray weak solutions of the incompressible Navier Stokes equation in an exterior domain.We describe, in particular, an hyperbolic version of the so called artificial compressibility method investigated by J.L.Lions and Temam. The convergence of these type of approximation show in general a lack of strong convergence due to the presence of acoustic waves. In this paper we face this difficulty by taking care of the dispersive nature of these waves by means of the Strichartz estimates or waves equations satisfied by the pressure. We actually decompose the pressure in different acoustic components, each one of them satisfies a specific initial boundary value problem. The strong convergence analysis of the velocity field will be achieved by using the associated Leray-Hodge decomposition.
Donatelli Doantella
Marcati Pierangelo
No associations
LandOfFree
Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-297340