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Francisco Sayas, Department of Mathematical Sciences, University of DelawareFrancisco Sayas, Department of Mathematical Sciences, University of DelawareGore 104Title: The mathematical and numerical life of the single layer potential, from Coulomb to Huygens Abstract: I will offer a light introduction (with many formulas, but barely any theorems) to the ideas behind the theory of layer potentials to represent the solutions of several well known PDEs. With origins well rooted in electrostatics, charge distributions on the surface of a conductor become mathematical entities that can be transferred to domains where they have no physical meaning, while they are still useful for computation. I will describe the work of my team in trying to reveal mathematical properties of discrete layer potentials and their applications to several problems in acoustics, elastodynamics, and electromagnetism. 5/5/2017 7:30:00 PM5/5/2017 9:30:00 PMFalse

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