Convergence to equilibria of solutions to a conserved phase-field system with memory

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SYSNO ASEP	0343854
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve SCOPUS
Title	Convergence to equilibria of solutions to a conserved phase-field system with memory
Author(s)	Aizicovici, S. (US) Petzeltová, Hana (MU-W)_{RID, SAI}
Source Title	Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632 Roč. 2, č. 1 (2009), s. 1-16
Number of pages	16 s.
Language	eng - English
Country	US - United States
Keywords	conserved phase-field systems ; memory effects ; 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)
EID SCOPUS	79952815863
DOI	10.3934/dcdss.2009.2.1
Annotation	We show that the trajectories of a conserved phase-field model with memory are compact in the space of continuous functions and, for an exponential relaxation kernel, we establish the convergence of solutions to a single stationary state as time goes to infinity. In te latter case, we also estimate the rate of decay to equilibrium.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1