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Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
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SYSNO ASEP 0502449 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title Existence and Uniqueness of Strong Stationary Solutions for Compressible Flows Author(s) Kreml, Ondřej (MU-W) RID, SAI, ORCID
Mucha, P. (PL)
Pokorný, M. (CZ)Source Title Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. - Cham : Springer, 2018 / Giga Y. ; Novotný A. - ISBN 978-3-319-13343-0 Pages s. 2663-2719 Number of pages 57 s. Number of copy 500 Number of pages 3045 Publication form Print - P Language eng - English Country CH - Switzerland Keywords mathematical analysis ; compressible fluid ; viscous fluid Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA16-03230S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 EID SCOPUS 85054365293 DOI 10.1007/978-3-319-13344-7_65 Annotation This chapter contains a survey of results in the existence theory of strong solutions to the steady compressible Navier–Stokes system. In the first part, the compressible Navier–Stokes equations are studied in bounded domains, both for homogeneous (no inflow) and inhomogeneous (inflow) boundary conditions. The solutions are constructed in Sobolev spaces. The next part contains the results for unbounded domains, especially for the exterior domains. Here, not only the question of existence and uniqueness is considered, but also the asymptotic structure near infinity is studied. Due to the different nature of the problems, the two- and three-dimensional problems are treated separately. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
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