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Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations
Author(s):
R.
Natalini;
F.
Rousset
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2251-2258.
MSC (2000):
Primary 35Q30;
Secondary 76D05
Posted:
March 14, 2006
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Abstract:
In this note, we rigorously justify a singular approximation of the incompressible Navier-Stokes equations. Our approximation combines two classical approximations of the incompressible Euler equations: a standard relaxation approximation, but with a diffusive scaling, and the Euler-Poisson equations in the quasineutral regime.
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Additional Information:
R.
Natalini
Affiliation:
Istituto per le Applicazioni del Calcolo ``Mauro Picone'', Consiglio Nazionale delle Ricerche, Viale del Policlinico, 137, I-00161 Roma, Italy
Email:
r.natalini@iac.cnr.it
F.
Rousset
Affiliation:
CNRS, Laboratoire J.-A Dieudonne, UMR 6621, Universite de Nice, Parc Valrose, F-06108 Nice Cedex 02, France
Email:
frousset@math.unice.fr
DOI:
10.1090/S0002-9939-06-08587-X
PII:
S 0002-9939(06)08587-X
Keywords:
Incompressible Navier-Stokes equations,
quasineutral regime,
Euler-Poisson equations,
diffusive relaxation approximations,
hyperbolic singular perturbations
Received by editor(s):
February 1, 2005
Posted:
March 14, 2006
Additional Notes:
The research activity reported in this paper has been partially conducted within the European Union RTN HYKE project: HPRN-CT-2002-00282
Communicated by:
Suncica Canic
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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