The Dynamical Systems Seminar presents Lanre Akinyemi on Tuesday, Feb. 14, at 3:05 p.m. in Morton 226.
Akinyemi is a graduate student in the Mathematics Department at Ohio University
He will discuss “Exact solution to the two-phase Hele-Shaw problem.”
Abstract: A two-phase problem describes an evolution of the interface $\Gamma(t)\subset{\mathbbR}^{2}$ between two immiscible fluids, occupying regions $\Omega _1$ and $\Omega _2$ in a so-called Hele-Shaw cell. The interface evolves due to the presence of sinks and sources located in $\Omega _j$, $j=1,2$. The case where one of the fluids is effectively inviscid, that is, it has a constant pressure, is called one-phase problem. This case has been studied extensively. Much less progress has been made for the two-phase problem, also know as the Muskat problem.
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