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DTSTART;TZID=America/Los_Angeles:20201026T150000
DTEND;TZID=America/Los_Angeles:20201026T160000
DTSTAMP:20260405T181557
CREATED:20200128T182630Z
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UID:1821-1603724400-1603728000@colleges.claremont.edu
SUMMARY:Applied Math Talk: Thin liquid film resulting from a distributed source on a vertical wall given by Yadong Ruan (CGU)
DESCRIPTION:In this talk\, we will talk about the thin film model derived for liquid film resulting from a distributed source on a vertical wall and some distinct properties about the model. We will discuss the different behavior and properties of the model with and without considering surface tension. When the surface tension is neglected\, a critical source strength is found below which the film flows entirely upward due to the airflow\, and above which some of the flow is carried downward by gravity. In both cases\, a steady state is established over the region where the finite source is located. The presence of surface tension\, even when small\, causes a dramatic change in the film profiles and the speed and structure of the shock waves. These are studied in more detail by examining the traveling wave solutions away from the source region.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-yadong-ruan-cgu/
LOCATION:CA
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20201028T161500
DTEND;TZID=America/Los_Angeles:20201028T173000
DTSTAMP:20260405T181557
CREATED:20200910T153940Z
LAST-MODIFIED:20201007T211225Z
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SUMMARY:Prof. Stephan Ramon Garcia
DESCRIPTION:Title: Combinatorics and the Kitchen Sink \nAbstract:  Numerical semigroups are simple combinatorial objects that lead to deep and subtle questions.  We answer in one fell swoop virtually all asymptotic questions about factorization lengths in numerical semigroups.  Surprisingly\, this uses tools from complex\, harmonic\, and functional analysis\, probability theory\, algebraic combinatorics\, and computer-aided design!  Our results yield uncannily accurate predictions that agree with numerical computations\, along with some totally unexpected byproducts. \nThis work was partially supported by NSF Grant DMS-1800123.  Joint work with A. Böttcher\, M. Omar\, C.O’Neill\, and Pomona undergraduate students T. Wesley (’21) and S.Yih (’18). \nProf. Garcia is the W.M. Keck Distinguished Service Professor and Professor of Mathematics at Pomona College
URL:https://colleges.claremont.edu/ccms/event/prof-stephan-ramon-garcia/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
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