Convergence to equilibria of solutions to a conserved Phase-Field system with memory | Zendy

Sergiu Aizicovici | Zendy; Hana Petzeltová | Zendy

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Convergence to equilibria of solutions to a conserved Phase-Field system with memory

Author(s) -

Sergiu Aizicovici,

Hana Petzeltová

Publication year - 2009

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2009.2.1

Subject(s) - convergence (economics) , infinity , kernel (algebra) , rate of convergence , conserved quantity , mathematics , exponential growth , relaxation (psychology) , statistical physics , exponential function , field (mathematics) , phase space , stationary state , state space , phase (matter) , mathematical analysis , physics , computer science , pure mathematics , mathematical physics , quantum mechanics , biology , statistics , economics , computer network , channel (broadcasting) , neuroscience , economic growth

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 the latter case, we also estimate the rate of decay to equilibrium.

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