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Showing 1 to 3 of 3 for “"Cahn-Hilliard equation"”.
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Demonstration of Bayesian inference and Bayesian experimental design in a model film/substrate inference problem
… is a phase separating mixture modeled by the Cahn-Hilliard equation. A key feature of the inference and the experiment design is a stochastic reduced-order model.
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Nucleation in the one-dimensional Cahn-Hilliard Model
In the first part we study the one-dimensional Cahn-Hilliard equation. The dynamics can be reduced to an inertial manifold. Using Conley index theory we study the fine structure of the global attractor. In particular we consider the basin of attraction D of the homogenuous solution. We show that …
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Intercalation dynamics in lithium-ion batteries
… electrode materials. It is based on the Cahn-Hilliard equation coupled to reaction rate laws as boundary conditions to handle the transfer of ions between the crystal and the electrolyte. In this thesis, I carefully derive a second set of boundary conditions--necessary to close the …