Convergence of solutions of a non-local phase-field system

0351228 - MÚ 2011 RIV US eng J - Journal Article
Londen, S.-O. - Petzeltová, Hana
Convergence of solutions of a non-local phase-field system.
Discrete and Continuous Dynamical systems - Series S. Roč. 4, č. 3 (2011), s. 653-670. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA AV ČR(CZ) IAA100190606
Institutional research plan: CEZ:AV0Z10190503
Keywords : non-local phase-field systems * separation property * convergence to equilibria
Subject RIV: BA - General Mathematics
http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5698

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.
Permanent Link: http://hdl.handle.net/11104/0191028