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DTSTART;TZID=America/Los_Angeles:20210322T150000
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DTSTAMP:20260419T151344
CREATED:20210112T180523Z
LAST-MODIFIED:20210317T211201Z
UID:2108-1616425200-1616428800@colleges.claremont.edu
SUMMARY:Applied math. talk: Periodic travelling waves in nonlinear wave equations: modulation  instability and rogue waves by Dmitry Pelinovsky\, McMaster University\, Canada
DESCRIPTION:Abstract:     I will overview the following different wave phenomena in\nintegrable nonlinear wave equations: \n(1) universal patterns in the dynamics of fluxon condensates in the\nsemi-classical limit;\n(2) modulational instability of periodic travelling waves;\n(3) rogue waves on the background of periodic and double-periodic waves. \nMain examples include the sine-Gordon equation\, the nonlinear\nSchroedinger equation\, and the derivative nonlinear Schroedinger\nequation. For the latter equation\, in collaboration with Jinbing Chen\n(South East University\, China) and Jeremy Upsal (University of\nWashington\, USA)\, we adapted the method of nonlinearization of the Lax\nsystem in order to characterize the existence and modulation stability\nof periodic travelling waves. We give precise information on the\nlocation of Lax and stability spectra\, with assistance of numerical\npackage based on the so-called Hill’s method. Particularly interesting\noutcome is the explicit relation between the onset of modulation\ninstability and the existence of a rogue wave (localized solution in\nspace and time) on the background of periodic travelling waves.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-periodic-travelling-waves-in-nonlinear-wave-equations-modulation-instability-and-rogue-waves-by-dmitry-pelinovsky-mcmaster-university-canada/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20210324T161500
DTEND;TZID=America/Los_Angeles:20210324T173000
DTSTAMP:20260419T151344
CREATED:20210204T004055Z
LAST-MODIFIED:20210312T000436Z
UID:2170-1616602500-1616607000@colleges.claremont.edu
SUMMARY:Our muscles aren't one-dimensional fibres (Prof. Nilima Nigam)
DESCRIPTION:Title: Our muscles aren’t one-dimensional fibres. \nAbstract: Skeletal muscles possess rather amazing mechanical properties. They possess an intricate structure\, and behave nonlinearly in response to mechanical stresses.  In the 1910s\,  A.V. Hill observed muscles heat when they contract\, but not when they relax.  Based on experiments on frogs he posited a mathematical description of skeletal muscles which approximated muscle as a 1-dimensional nonlinear and massless spring. This has been a remarkably successful model\, and remains in wide use. Recently\, we’ve realized that skeletal muscle is three dimensional\, has mass\, and fairly complicated structure. I’ll present some work on a mathematical model which captures some of this complexity. \nDr. Nilima Nigam is Professor at Simon Fraser University.
URL:https://colleges.claremont.edu/ccms/event/nilima-nigam/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
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