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

0343854 - MÚ 2011 RIV US eng J - Článek v odborném periodiku
Aizicovici, S. - Petzeltová, Hana
Convergence to equilibria of solutions to a conserved phase-field system with memory.
Discrete and Continuous Dynamical systems - Series S. Roč. 2, č. 1 (2009), s. 1-16. ISSN 1937-1632. E-ISSN 1937-1179
Grant CEP: GA AV ČR(CZ) IAA100190606
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: conserved phase-field systems * memory effects * convergence to equilibria
Kód oboru RIV: BA - Obecná matematika

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.
Trvalý link: http://hdl.handle.net/11104/0186232