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The viscous Cahn-Hilliard equation with inertial term
Authors:Ahmed Bonfoh
Institution:
  • Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O. Box 546, Dhahran 31261, Saudi Arabia
  • Abstract:We consider a hyperbolic relaxation of the viscous Cahn-Hilliard equation. This equation describes the early stages of spinodal decomposition in certain glasses. We establish the existence of families of exponential attractors and inertial manifolds which are continuous at any parameter of viscosity ?≥0. Continuity properties of the global attractors are also examined.
    Keywords:35B25  35B40  37L25  80A22
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