E. I. Dinaburg, Ya. G. Sinai, “A quasilinear approximation for the three-dimensional Navier–Stokes system”, Mosc. Math. J., 2001, Volume 1, Number 3,Pages <nobr>381

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A quasilinear approximation for the three-dimensional Navier–Stokes system

E. I. Dinaburg^ab, Ya. G. Sinai^cd

^a Schmidt United Institute of Physics of the Earth, Russian Academy of Scienses
^b International Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS
^c L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^d Princeton University, Department of Mathematics

Abstract: In this paper a modification of the 3-dimensional Navier–Stokes system which defines some system of quasilinear equations in Fourier space is considered. Properties of the obtained system and its finite-dimensional approximations are studied.

Key words and phrases: Three-dimensional Navier–Stokes system, quasilinear system, characteristics.

MSC: 76D05

Received: July 6, 2001; in revised form September 24, 2001

Language: English

DOI: 10.17323/1609-4514-2001-1-3-381-388