Attractors of semigroups associated with nonlinear systems for diffusive phase separation

Nobuyuki Kenmochi

Abstract and Applied Analysis, 1996, vol. 1, issue 2, 169-192

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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https://doi.org/10.1155/S1085337596000085

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:1:y:1996:i:2:p:169-192

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