Solvability Conditions for the Second Boundary Value Problem for the Navier System

Under consideration is the second boundary value problem in a half-space for the Navier system.We provide some necessary conditions for unique solvability in Sobolev spaces.

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Bibliographic Details
Published in:Journal of applied and industrial mathematics 2018-10, Vol.12 (4), p.595-606
Main Author: Bondar, L. N.
Format: Article
Language:English
Subjects:
Boundary value problems
Fluid flow
Half spaces
Mathematics
Mathematics and Statistics
Sobolev space
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Description
Summary:Under consideration is the second boundary value problem in a half-space for the Navier system.We provide some necessary conditions for unique solvability in Sobolev spaces.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478918040014