Scale analysis of complete fluid systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00369962" target="_blank" >RIV/67985840:_____/11:00369962 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Scale analysis of complete fluid systems
Original language description
This is a survey on some recently developed mathematical methods in the scale analysis of the full Navier-Stokes-Fourier system, in particular, the so-called incompressible limits, where the target system is represented by the incompressible Navier-Stokes equations supplemented with an equation describing the transfer of heat. We introduce a general framework based on the concept of weak solutions, discuss the effect of acoustic waves and their dispersion on large physical domains, and illustrate the abstract methods by a rigorous derivation of the Oberbeck-Boussinesq approximation on an exterior domain.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F08%2F0315" target="_blank" >GA201/08/0315: Mathematical analysis of complex systems in fluid mechanics</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Lectures on the analysis of nonlinear partial differential equations
ISBN
978-7-04-031610-0
Number of pages of the result
40
Pages from-to
47-86
Number of pages of the book
331
Publisher name
Higher Education Press
Place of publication
Beijing
UT code for WoS chapter
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