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DTSTART;TZID=America/Los_Angeles:20201109T150000
DTEND;TZID=America/Los_Angeles:20201109T160000
DTSTAMP:20260420T134344
CREATED:20200813T015750Z
LAST-MODIFIED:20201029T042740Z
UID:1947-1604934000-1604937600@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Multiscale analysis and high-order schemes for nonlinear multilevel Maxwell-Bloch equations given by Prof. Qing Xia (Rensselaer Polytechnic Institute)
DESCRIPTION:In this talk\, we will present a recent study of the\nMaxwell-Bloch equations that model the nonlinear interactions of light and\nmatter\, where the light is modeled classically by the Maxwell’s equations\nwith dispersions and the medium is modeled quantum-mechanically by the\nmultilevel rate equations. We will show the connection between rate\nequations and the density matrix\, where the former formulation is widely\nused in the engineering community and the latter in the Physics\nliterature. A multiscale analysis of the Maxwell-Bloch equations based on\nasymptotic expansions will also be discussed. The resulting reduced\nenvelope equations (or slow equations) capture amplitude dynamics of the\nunderlying solutions accurately and efficiently. In addition\, we will talk\nabout high-order accurate numerical schemes based on finite difference\napproximations in space and modified equation approach in time. The\nproposed schemes allow point-wise update of the solutions for both single\ndomains and domains with material interfaces\, thus enabling superb\nparallelism for arbitrary geometry. This is joint work with A. V.\nKildishev and L. J. Prokopeva from Purdue’s Birck Nanotechnology Center\,\nand J. W. Banks\, W. D. Henshaw\, G. Kovacic and D. W. Schwendeman from RPI.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-give-by-prof-qing-xia-rensselaer-polytechnic-institute/
LOCATION:Zoom
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20201111T161500
DTEND;TZID=America/Los_Angeles:20201111T171500
DTSTAMP:20260420T134344
CREATED:20200820T205435Z
LAST-MODIFIED:20201102T180630Z
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SUMMARY:Prof. Eva Kanso
DESCRIPTION:Title: Sea star locomotion \nAbstract: The oral surface of sea stars (starfish) is lined with arrays of tube feet that enable them to achieve highly controlled locomotion on various terrains and to even gallop and bounce. The activity of the tube feet is orchestrated by a nerve net that is distributed throughout the body; there is no central brain. How such a decentralized nervous system produces a coordinated locomotion is yet to be understood. To examine the sensorimotor control underlying the sea star locomotory behavior\, we developed mathematical models of the biomechanics and sensorimotor control of the tube feet. In these models\, the feet are soft actuators that are coupled mechanically through their structural connection to the sea star body\, and whose power and recovery strokes are dictated by local sensori-feedback control loops. We found that these minimally-coupled tube feet coordinate to generate robust forward locomotion\, reminiscent of the crawling motion of sea stars. We also found that the sea star model can transition from crawling to bouncing\, and it can robustly locomote on various terrains\, and under various heterogeneity in the tube feet parameters and initial conditions\, akin to experimental observations. These findings improve our understanding of the Echinoderms decentralized nervous system and could lead to novel designs and control rules for autonomous robotic systems. \nProf. Eva Kanso is a Professor and the Z.H. Kaprielian Fellow in Aerospace and Mechanical Engineering at the University of Southern California.
URL:https://colleges.claremont.edu/ccms/event/prof-eva-kanso/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
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