Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations

Popis výsledku v původním jazyce

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).

Název v anglickém jazyce

Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations

Popis výsledku anglicky

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).

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GJ17-15498Y" target="_blank" >GJ17-15498Y: Víceškálová nerovnovážná termodynamika</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Continuum Mechanics and Thermodynamics

ISSN

0935-1175

e-ISSN

—

Svazek periodika

30

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

36

Strana od-do

1343-1378

Kód UT WoS článku

000449255800009

EID výsledku v databázi Scopus

2-s2.0-85040777452