• 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
  • Pages
    21
  • From page
    11
  • To page
    31
  • 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
  • Serial Year
    2003
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    930808