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Transient coarsening behaviour in the Cahn–Hilliard model

Garcke, Harald ; Niethammer, Barbara ; Rumpf, Martin ; Weikard, Ulrich



Abstract

We study two-dimensional coarsening by simulations for the Cahn-Hilliard model. A scale invariance of the sharp interface limit of this model suggests that the characteristic length scale grows proportional to t(1/3), respectively the energy density decreases as t(-1/3). We compare the coarsening dynamics for different choices of data for different volume fractions. We observe that, depending on ...

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