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January 2018

, Triangle Topology Seminar

January 23 @ 4:30 pm - 5:00 pm

Speaker: Title: Abstract:

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Daniel Harris, Applied Mathematics Colloquium

January 26 @ 4:00 pm - 5:00 pm

Speaker: Daniel Harris, Brown University Title: Follow the bouncing ball Abstract: Fluid droplets may bounce indefinitely on vibrating fluid bath, exhibiting complex vertical dynamics that depend sensitively on the experimental parameters. At each impact with the underlying bath, the droplet deforms the free surface, generating waves at the interface. In certain parameter regimes, the droplets can interact with such waves and progress horizontally across the surface. This hydrodynamic system represents a macroscopic wave-particle duality, and has been shown to exhibit behaviors reminiscent…

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Dana Mendelson, Analysis & PDE Seminar

January 31 @ 4:00 pm - 5:00 pm

Speaker: Dana Mendelson, University of Chicago Title: An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on R Abstract: We consider the (de)focusing cubic Gross-Pitaevskii (GP) hierarchy on R, which is an infinite hierarchy of coupled linear non-homogeneous PDE which appears in the derivation of the cubic nonlinear Schrodinger (NLS) equation from quantum many-particle systems. Motivated by the fact that the cubic NLS on R is an integrable equation which admits infinitely many conserved quantities, we exhibit an infinite sequence…

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