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

0023230 - MÚ 2006 RIV SG eng C - Conference Paper (international conference)
Petzeltová, Hana
Convergence of solutions of a non-local phase-field system with memory.
[Konvergence řešení nelokálního systému fázového pole s pamětí.]
Equadiff 2003. Proceedings of the International Conference on Differential Equations. Singapore: World Scientific, 2005, s. 663-665. ISBN 981-256-169-2.
[Equadiff 2003, International Conference on Differential Equations. Hasselt 2003 (DE), 22.07.2003-26.07.2003]
R&D Projects: GA AV ČR IAA1019302
Institutional research plan: CEZ:AV0Z1019905
Keywords : phase-field system * long-time behaviour * nonlocal terms
Subject RIV: BA - General Mathematics

In this note we show that any solution of a nonlocal phase-field system with temporal memory converges to a unique stationary state. We make use of a non-smooth version of Lojasiewicz inequality.

Zobecněná verze Lojasiewiczovy nerovnosti je použita k důkazu konvergence řešení systému fázového pole s nelokálními členy.
Permanent Link: http://hdl.handle.net/11104/0111894