Mathematical models of incompressible fluids as singular limits of complete fluid systems
Result description
A rigorous justification of several well-know mathematical models of incompressible fluid flows can be given in terms of singular limits of the scaled Navier-Stokes-Fourier system, where some of the characteristic numbers become small or large enough. Wediscuss the problem in the framework of global-in-time solutions for both the primitive and the target system.
Keywords
scale analysisNavier-Stokes-Fourier systemincompressible limit
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Mathematical models of incompressible fluids as singular limits of complete fluid systems
Original language description
A rigorous justification of several well-know mathematical models of incompressible fluid flows can be given in terms of singular limits of the scaled Navier-Stokes-Fourier system, where some of the characteristic numbers become small or large enough. Wediscuss the problem in the framework of global-in-time solutions for both the primitive and the target system.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA201/08/0315: Mathematical analysis of complex systems in fluid mechanics
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Milan Journal of Mathematics
ISSN
1424-9286
e-ISSN
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Volume of the periodical
78
Issue of the periodical within the volume
2
Country of publishing house
CH - SWITZERLAND
Number of pages
38
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2010