Hamiltonian and Godunov structures of the Grad hierarchy
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10360974" target="_blank" >RIV/00216208:11320/17:10360974 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevE.95.033121" target="_blank" >http://dx.doi.org/10.1103/PhysRevE.95.033121</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.95.033121" target="_blank" >10.1103/PhysRevE.95.033121</a>
Alternative languages
Result language
angličtina
Original language name
Hamiltonian and Godunov structures of the Grad hierarchy
Original language description
The time evolution governed by the Boltzmann kinetic equation is compatible with mechanics and thermodynamics. The former compatibility is mathematically expressed in the Hamiltonian and Godunov structures, the latter in the structure of gradient dynamics guaranteeing the growth of entropy and consequently the approach to equilibrium. We carry all three structures to the Grad reformulation of the Boltzmann equation (to the Grad hierarchy). First, we recognize the structures in the infinite Grad hierarchy and then in several examples of finite hierarchies representing extended hydrodynamic equations. In the context of Grad's hierarchies, we also investigate relations between Hamiltonian and Godunov structures.
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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review E
ISSN
2470-0045
e-ISSN
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Volume of the periodical
95
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
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UT code for WoS article
000399149600010
EID of the result in the Scopus database
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