Attractors of semigroups associated with nonlinear systems for diffusive phase separation

Nobuyuki Kenmochi

Abstract and Applied Analysis, 1996, vol. 1, 1-24

Abstract:

We consider a model for diffusive phase transitions, for instance, the component separation in a binary mixture. Our model is described by two functions, the absolutete temperature θ : = θ ( t , x ) and the order parameter w : = w ( t , x ) , which are governed by a system of two nonlinear parabolic PDEs. The order parameter w is constrained to have double obstacles σ * ≤ w ≤ σ * (i.e., σ * and σ * are the threshold values of w ). The objective of this paper is to discuss the semigroup { S ( t ) } associated with the phase separation model, and construct its global attractor.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:439153

DOI: 10.1155/S1085337596000085

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