Motion of Interfaces Under the Cahn-Hilliard Equation with Degenerate Mobility

Title: Motion of Interfaces Under the Cahn-Hilliard Equation with Degenerate  Mobility


Speaker : Shibin Dai (Assistant Professor, Department of Mathematical Sciences, New Mexico State University)


Date: 10:00-11:00am, June 18, 2014


Place: Conference Room A404, Department of Mathematical Sciences


Abstract: We use the asymptotic matching method to study the motion of interfaces in two phase systems governed by the Cahn- Hilliard equation with one or two-sided degenerate diffusion mobilities. We find that there is a nonlinear diffusion process that solves a quasi-stationary porous medium equation in the phase(s) where the mobility degenerates, which is the mechanism for such systems to coarsen. When the mobility is disparate, scaling arguments suggest that the coarsening rate depends on the volume fraction of the phases. We will also show numerical simulations to justify our analytical results. This is joint work with Qiang Du at Pennsylvania State University.


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