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Zacharias, Klaus [Author]; Gajewski, Herbert [Author]

On a nonlocal phase separation model

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  • Media type: Text; E-Article
  • Title: On a nonlocal phase separation model
  • Contributor: Zacharias, Klaus [Author]; Gajewski, Herbert [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2003
  • Language: English
  • DOI: https://doi.org/10.1016/s0022-247x(02)00425-0
  • Keywords: Cahn-Hilliard equation -- initial boundary value problem -- reaction-diffusion equations -- a priori estimates -- Lyapunov function -- equilibria -- asymptotic behaviour -- classical thermodynamics -- phase changes -- chemotaxis ; article
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  • Description: 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.