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DTSTART:20070311T020000
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DTSTAMP:20260223T100141
DTSTART;TZID=America/Detroit:20260223T160000
DTEND;TZID=America/Detroit:20260223T170000
SUMMARY:Livestream / Virtual:Semiclassical Soliton Ensembles for the Intermediate Long Wave and Korteweg-de Vries Equations
DESCRIPTION:Semiclassical soliton ensembles (SSE) in the small dispersion limit are initially coherent collections of many solitons that well-approximate some initial profile. Evolving forward in time\, the profile will eventually undergo wave breaking\, shedding the solitons and generating a dispersive shock wave. We study this phenomenon for two PDE. The first SSE\, for the intermediate long wave equation\, is constructed to approximate general smooth Klaus-Shaw initial data. We first conduct a heuristic WKB approximation to determine the approximate scattering data and then rigorously study the inverse scattering problem using the methods of Lax and Levermore. We show the initial condition is recovered in the limit and the solution up until wave breaking approaches that of Invicid Burgers' equation in an L^2 sense. The second SSE is the sech^2 initial condition for the Korteweg-de Vries equation. Inverse scattering is done via a Reimann-Hilbert problem and the method of nonlinear steepest descent is employed. This project is joint work with K. Schmidt (University of Central Florida) and R. Buckingham (University of Cincinnati).
UID:143638-21893567@events.umich.edu
URL:https://events.umich.edu/event/143638
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics,Seminar,Virtual
LOCATION:Off Campus Location - EH 1866
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20260209T090845
DTSTART;TZID=America/Detroit:20260223T161500
DTEND;TZID=America/Detroit:20260223T174500
SUMMARY:Presentation:3rd Year Student Seminar - Analytical Cluster
DESCRIPTION:On Monday\, February 23rd from 4:15 to 5:45 p.m. in CHEM 1640 please join us in watching the following third years present.\n\n*Student Presenter:* Kelsey Ramp\n*Research Advisor:* Prof. Dasgupta & Prof. Bartlett \n\n*Student Presenter:* Theo Severud\n*Research Advisor:* Prof. Kerri Pratt\n\n*Student Presenter:* Tyler Somerville & Ryan Snyder\n*Research Advisor:* Prof. Kennedy
UID:145233-21896897@events.umich.edu
URL:https://events.umich.edu/event/145233
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Chemistry
LOCATION:Chemistry Dow Lab - 1640
CONTACT:
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