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Well-posedness of an extended model for water-ice phase transitions
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SYSNO ASEP 0383891 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Well-posedness of an extended model for water-ice phase transitions Tvůrce(i) Krejčí, Pavel (MU-W) RID, SAI, ORCID
Rocca, E. (IT)Zdroj.dok. Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 6, č. 2 (2013), s. 439-460Poč.str. 22 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova phase transitions ; nonlocal problems ; uniqueness Vědní obor RIV BA - Obecná matematika CEP GAP201/10/2315 GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000331201400011 EID SCOPUS 84874121866 DOI https://doi.org/10.3934/dcdss.2013.6.439 Anotace 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 estimation techniques 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 prove uniqueness and continuous data dependence of the solution. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2013
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