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On some approximation of the 3D Euler system

Published online by Cambridge University Press:  18 October 2004

E. I. DINABURG  and
YA G. SINAI
E. I. DINABURG
Affiliation:
The Institute of Physics of Earth, Russian Academy of Sciences, B. Gruzinskaya 10, Moscow 123995, Russia
YA G. SINAI
Affiliation:
Mathematics Department of Princeton University, Princeton, NJ 08544, USA and Landau Institute of Theoretical Physics, Russian Academy of Sciences, Institutskii pr., 12 Chernogolovka, Moscow 142432, Russia (e-mail: [email protected])
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Abstract

In this paper we consider a quasi-linear approximation for the 3D Euler system as well as for the Navier–Stokes system in our previous paper Moscow Math. J.1(3) (2001), 381–388). We define finite-dimensional versions of the approximation and study properties of their solutions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 5 , October 2004 , pp. 1443 - 1450
Copyright
© 2004 Cambridge University Press

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