Lifts of Symmetric Tensors: Fluids, Plasma, and Grad Hierarchy
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10401414" target="_blank" >RIV/00216208:11320/19:10401414 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=0wIt8SmwbW" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=0wIt8SmwbW</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/e21090907" target="_blank" >10.3390/e21090907</a>
Alternative languages
Result language
angličtina
Original language name
Lifts of Symmetric Tensors: Fluids, Plasma, and Grad Hierarchy
Original language description
Geometrical and algebraic aspects of the Hamiltonian realizations of the Euler's fluid and the Vlasov's plasma are investigated. A purely geometric pathway (involving complete lifts and vertical representatives) is proposed, which establishes a link from particle motion to evolution of the field variables. This pathway is free from Poisson brackets and Hamiltonian functionals. Momentum realizations (sections on tau*tau*Q) of (both compressible and incompressible) Euler's fluid and Vlasov's plasma are derived. Poisson mappings relating the momentum realizations with the usual field equations are constructed as duals of injective Lie algebra homomorphisms. The geometric pathway is then used to construct the evolution equations for 10-moments kinetic theory. This way the entire Grad hierarchy (including entropic fields) can be constructed in a purely geometric way. This geometric way is an alternative to the usual Hamiltonian approach to mechanics based on Poisson brackets.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GJ17-15498Y" target="_blank" >GJ17-15498Y: Multiscale Nonequilibrium Thermodynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Entropy
ISSN
1099-4300
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
9
Country of publishing house
CH - SWITZERLAND
Number of pages
33
Pages from-to
907
UT code for WoS article
000489176800091
EID of the result in the Scopus database
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