Title of article :
On a nonlocal phase separation model
Author/Authors :
Herbert Gajewski ? and Klaus Zacharias، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2003
Abstract :
An alternative to the Cahn–Hilliard model of phase separation for two-phase systems in a simplified
isothermal case is given. The model is derived from a free energy with a nonlocal interacting term
and allows reasonable bounds for the concentrations. Using the free energy as Lyapunov functional
the asymptotic state of the system is investigated and characterized by a variational principle.
2003 Elsevier Inc. All rights reserved.
Keywords :
A prioriestimates , Lyapunov function , asymptotic behaviour , classical thermodynamics , chemotaxis , Cahn–Hilliard equation , initial boundary value problem , Equilibria , reaction–diffusion equations , phase changes
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications