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Dispersive Hydrodynamics of Viscous Fluid Conduits --or-- The Superfluidity of Corn Syrup

Applied Mathematics,Ìý

Date and time:Ìý

Friday, September 4, 2015 - 3:00pm

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ECCR 245

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A superfluid is a state of matter that exhibits fluid motion without viscosity or entropy.Ìý Essential features of superfluids are nonlinear self-steepening and wave dispersion absent dissipation, the competition of which can lead to novel coherent structures. Mathematical models capturing the key properties of superfluid-like media include hyperbolic systems of equations regularized by higher order dispersive terms.Ìý An example of superfluidity, first created here at CU, is the Bose-Einstein condensate, whose subsequent study has yielded remarkable observations of the wave properties of matter including vortices, solitons, and dispersive shock waves (DSWs). A wholly different, and perhaps counterintuitive, medium that exhibits the essential properties of a superfluid is the interface between two high contrast viscous liquids, one rising buoyantly within the other.Ìý This talk will present the modeling, analysis, and experimental observation of the effective one-dimensional superfluidity of dyed, diluted corn syrup injected into pure corn syrup.Ìý This rich and versatile system exhibits solitons, DSWs (coherent, spatially extended nonlinear oscillations), and the potential for a soliton gas (incoherent, large collection of interacting solitons).

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The experiments are performed in CU Applied Math Department's Dispersive Hydrodynamics Laboratory, located in Duane C226, enabled by a unique collaboration with Physics and the College of Arts and Sciences.Ìý This talk is meant to introduce the Lab to the department and wider ³Ô¹ÏÍø community.Ìý Refreshments and an open house in Duane C226 (2nd floor, Westernmost end of the Physics building) will take place at 4pm following the talk.