Attractors of Semigroups Associated with Nonlinear Systems for Diffusive Phase Separation
نویسنده
چکیده
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.
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