Počet záznamů: 1
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
- 1.
SYSNO ASEP 0360085 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity Tvůrce(i) Colli, P. (IT)
Krejčí, Pavel (MU-W) RID, SAI, ORCID
Rocca, E. (IT)
Sprekels, J. (DE)Zdroj.dok. Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 251, 4-5 (2011), s. 1354-1387Poč.str. 34 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova phase transitions ; nonlocal models ; quasilinear integro-differential vectorial equation Vědní obor RIV BA - Obecná matematika CEP GAP201/10/2315 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000291900800024 EID SCOPUS 79958191500 DOI 10.1016/j.jde.2011.02.010 Anotace In this paper, we prove the existence and global boundedness from above for a solution to an integro-differential model for nonisothermal multi-phase transitions under nonhomogeneous third type boundary conditions. The system couples a quasilinear internal energy balance ruling the evolution of the absolute temperature with a vectorial integro-differential inclusion governing the (vectorial) phase-parameter dynamics. The specific heat and the heat conductivity k are allowed to depend both on the order parameter χ and on the absolute temperature θ of the system, and the convex component of the free energy may or may not be singular. Uniqueness and continuous data dependence are also proved under additional assumptions. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2012
Počet záznamů: 1