BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Energy driven pattern formation in thin fluid layers: The good, the bad and the beautiful. Bernoff, Andrew


A wide variety of physical and biological systems can be described as continuum limits of inter- acting particles. Their dynamics can often be described in terms of a monotonically decreasing interaction energy that is often non-local in nature. We show how to exploit these energies nu- merically, analytically and asymptotically to characterize the observed behavior. Examples are drawn from the dynamics of thin fluid layers. We show how to use these ideas to derive a simple characterization of the convoluted fingered domains observed experimentally in ferrofluids. Joint work with Jaron Kent-Dobias (HMC 2014), Department of Physics Cornell University

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