This article is cited in 3 papers

Characteristics of the flow of an incompressible fluid in a gravitational field

M. V. Fedoryuk


Abstract: Two- and three-dimensional problems of the motion of an incompressible fluid of variable density in a gravitational field are considered. Integrodifferential equations for the characteristics are obtained, and the existence and uniqueness of a solution of the Cauchy problem in finite time is proved in the two-dimensional case and in infinite time in the three-dimensional case.
Bibliography: 7 titles.

UDC: 517.9

MSC: Primary 76D99; Secondary 45J05

Received: 10.11.1987

 English version: Mathematics of the USSR-Sbornik, 1990, 65:2, 487–503

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