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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2016 Volume 293, Pages 157–166 (Mi tm3711)

Some boundary value problems in three-dimensional domains

Yulii A. Dubinskii

National Research University "Moscow Power Engineering Institute", Krasnokazarmennaya ul. 14, Moscow, 111250 Russia

Abstract: Some nonstandard boundary value problems are studied for the stationary Poisson system, Stokes system, and Navier–Stokes system. The problems under consideration are “intermediate” between the Dirichlet problem and Neumann problem. The well-posedness of these problems is proved.

UDC: 517.956.22

Received: November 12, 2015

DOI: 10.1134/S0371968516020114


 English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 293, 151–160

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© Steklov Math. Inst. of RAS, 2025