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Convergence of solutions of a non-local phase-field system
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SYSNO ASEP 0351228 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Convergence of solutions of a non-local phase-field system Author(s) Londen, S.-O. (FI)
Petzeltová, Hana (MU-W) RID, SAISource Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 4, č. 3 (2011), s. 653-670Number of pages 18 s. Language eng - English Country US - United States Keywords non-local phase-field systems ; separation property ; convergence to equilibria Subject RIV BA - General Mathematics R&D Projects IAA100190606 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000209928900012 EID SCOPUS 79952818769 DOI 10.3934/dcdss.2011.4.653 Annotation We show that solutions of a two-phase model involving a non-local interactive term separate from the pure phases from a certain time on, even if this is not the case initially. This result allows us to apply a generalized Lojasiewicz-Simon theorem and to establish the convergence of solutions to a single stationary state as time goes to infinity. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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