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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1981 Volume 115(157), Number 2(6), Pages 281–306 (Mi sm2385)

This article is cited in 78 papers

Control problems and theorems concerning the unique solvability of a mixed boundary value problem for the three-dimensional Navier–Stokes and Euler equations

A. V. Fursikov


Abstract: In this paper, theorems on the existence of smooth solutions of certain control problems describable by the Navier–Stokes and Euler equations are proved. It is shown that a mixed boundary value problem for the Navier–Stokes and Euler equations of dimension $n\geqslant3$ is uniquely solvable for a dense set of right-hand sides.
Bibliography: 13 titles.

UDC: 517.946

MSC: Primary 35B37, 35G30; Secondary 35Q10

Received: 13.06.1980


 English version:
Mathematics of the USSR-Sbornik, 1982, 43:2, 251–273

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© Steklov Math. Inst. of RAS, 2026