Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384191" target="_blank" >RIV/00216208:11320/18:10384191 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00161-018-0621-2" target="_blank" >https://doi.org/10.1007/s00161-018-0621-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00161-018-0621-2" target="_blank" >10.1007/s00161-018-0621-2</a>
Alternative languages
Result language
angličtina
Original language name
Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
Original language description
Continuum mechanics with dislocations, with the Cattaneo-type heat conduction, with mass transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of the Godunov-type system of the first-order, symmetric hyperbolic partial differential equations (SHTC equations). The compatibility with thermodynamics of the time reversible part of the governing equations is mathematically expressed in the former formulation as degeneracy of the Hamiltonian structure and in the latter formulation as the existence of a companion conservation law. In both formulations the time irreversible part represents gradient dynamics. The Godunov-type formulation brings the mathematical rigor (the local well posedness of the Cauchy initial value problem) and the possibility to discretize while keeping the physical content of the governing equations (the Godunov finite volume discretization).
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
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Continuum Mechanics and Thermodynamics
ISSN
0935-1175
e-ISSN
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Volume of the periodical
30
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
36
Pages from-to
1343-1378
UT code for WoS article
000449255800009
EID of the result in the Scopus database
2-s2.0-85040777452