ON SOME SYSTEMS OF EQUATIONS CONTAINING A SMALL PARAMETER

Aleksei A. Dezin · Mathematics of the USSR-Sbornik · 1981

This paper considers special linearizations of a two-dimensional system of Navier-Stokes equations in which the group of convective terms is reduced to the simplest system of the first order of hyperbolic or elliptic type with constant coefficients. In a rectangular domain, subject to conditions of periodicity in one of the variables, the behavior of solutions is studied as the coefficient of viscosity tends towards zero. Bibliography: 6 titles.

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