Well-posedness of an extended model for water-ice phase transitions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00383891" target="_blank" >RIV/67985840:_____/13:00383891 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.3934/dcdss.2013.6.439" target="_blank" >http://dx.doi.org/10.3934/dcdss.2013.6.439</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/dcdss.2013.6.439" target="_blank" >10.3934/dcdss.2013.6.439</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Well-posedness of an extended model for water-ice phase transitions

Popis výsledku v původním jazyce

We propose an improved model explaining the occurrence of high stresses due to the diff erence in speci fic volumes during phase transitions between water and ice. The unknowns of the resulting evolution problem are the absolute temperature, the volume increment, and the liquid fraction. The main novelty here consists in including the dependence of the speci fic heat and of the speed of sound upon the phase. These additional nonlinearities bring new mathematical difficulties which require new estimationtechniques based on Moser iteration. We establish the existence of a global solution to the corresponding initial-boundary value problem, as well as lower and upper bounds for the absolute temperature. Assuming constant heat conductivity, we also proveuniqueness and continuous data dependence of the solution.

Název v anglickém jazyce

Well-posedness of an extended model for water-ice phase transitions

Popis výsledku anglicky

We propose an improved model explaining the occurrence of high stresses due to the diff erence in speci fic volumes during phase transitions between water and ice. The unknowns of the resulting evolution problem are the absolute temperature, the volume increment, and the liquid fraction. The main novelty here consists in including the dependence of the speci fic heat and of the speed of sound upon the phase. These additional nonlinearities bring new mathematical difficulties which require new estimationtechniques based on Moser iteration. We establish the existence of a global solution to the corresponding initial-boundary value problem, as well as lower and upper bounds for the absolute temperature. Assuming constant heat conductivity, we also proveuniqueness and continuous data dependence of the solution.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP201%2F10%2F2315" target="_blank" >GAP201/10/2315: Matematické modelování procesů v hysterézních materiálech</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Discrete and Continuous Dynamical systems

ISSN

1937-1632

e-ISSN

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Svazek periodika

6

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

22

Strana od-do

439-460

Kód UT WoS článku

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EID výsledku v databázi Scopus

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