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

1. 0351228 - MU-W 2011 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR(CZ) IAA100190606
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: non-local phase-field systems * separation property * convergence to equilibria
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0191028