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Exponential attractor for an adsorbate-induced phase transition model. (English) Zbl 1011.35031

Using the theory of evolution equations, the authors prove the existence of an exponential attractor for the dynamical system associated to the adsorbate-induced phase transition model.

MSC:

35B41 Attractors
80A22 Stefan problems, phase changes, etc.
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35K57 Reaction-diffusion equations
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
74N25 Transformations involving diffusion in solids
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