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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210301T150000
DTEND;TZID=America/Los_Angeles:20210301T160000
DTSTAMP:20260519T115706
CREATED:20210112T180006Z
LAST-MODIFIED:20210210T190755Z
UID:2104-1614610800-1614614400@colleges.claremont.edu
SUMMARY:Applied math. talk: Blowup rate estimates of a singular potential in the Landau-de Gennes theory for liquid crystals  by Xiang Xu\, Old Dominion   University.
DESCRIPTION:Abstract: The Landau-de Gennes theory is a type of continuum theory that\ndescribes nematic liquid crystal configurations in the framework of the\nQ-tensor order parameter. In the free energy\, there is a singular bulk\npotential which is considered as a natural enforcement of a physical\nconstraint on the eigenvalues of symmetric\, traceless Q-tensors. In this\ntalk we shall discuss some analytic properties related to this singular\npotential. More specifically\, we provide precise estimates of both this\nsingular potential\nand its gradient as the Q-tensor approaches its physical boundary.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-xiang-xu-old-dominion-university/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210308T150000
DTEND;TZID=America/Los_Angeles:20210308T160000
DTSTAMP:20260519T115706
CREATED:20210112T180325Z
LAST-MODIFIED:20210223T174630Z
UID:2106-1615215600-1615219200@colleges.claremont.edu
SUMMARY:Applied math. talk: Optimal control of the SIR model in the presence of transmission and treatment  uncertainty by Henry Schellhorn\, CGU
DESCRIPTION:Abstract \nThe COVID-19 pandemic illustrates the importance of treatment-related decision making in populations. This article considers the case where the transmission rate of the disease as well as the efficiency of treatments is subject to uncertainty. We consider two different regimes\, or submodels\, of the stochastic SIR model\, where the population consists of three groups: susceptible\, infected and recovered. In the first regime the proportion of infected is very low\, and the proportion of susceptible is very close to 100%.  This corresponds to a disease with few deaths and where recovered individuals do not acquire immunity. In a second regime\, the proportion of infected is moderate\, but not negligible. We show that the first regime corresponds almost exactly to a well-known problem in finance\, the problem of portfolio and consumption decisions under mean-reverting returns (Wachter\, JFQA 2002)\, for which the optimal control has an analytical solution. We develop a perturbative solution for the second problem. To our knowledge\, this paper represents one of the first attempts to develop analytical/perturbative solutions\, as opposed to numerical solutions to stochastic SIR models.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-optimal-control-of-the-sir-model-in-the-presence-of-transmission-and-treatment-uncertainty-by-henry-schellhorn-cgu/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210315T150000
DTEND;TZID=America/Los_Angeles:20210315T160000
DTSTAMP:20260519T115706
CREATED:20210114T012637Z
LAST-MODIFIED:20210114T012637Z
UID:2118-1615820400-1615824000@colleges.claremont.edu
SUMMARY:Applied Math. Talk: by a guest University of UTAH
DESCRIPTION:TBA
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-a-guest-university-of-utah/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210322T150000
DTEND;TZID=America/Los_Angeles:20210322T160000
DTSTAMP:20260519T115706
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210329T150000
DTEND;TZID=America/Los_Angeles:20210329T160000
DTSTAMP:20260519T115706
CREATED:20210113T011843Z
LAST-MODIFIED:20210325T164523Z
UID:2115-1617030000-1617033600@colleges.claremont.edu
SUMMARY:Applied math. talk: Hyperbolicity-Preserving Stochastic Galerkin Method for Shallow Water Equations by  Dihan Dai\, Department of Mathematics\, University of Utah
DESCRIPTION:Abstract: The system of shallow water equations and related models are\nwidely used in oceanography to model hazardous phenomena such as tsunamis\nand storm surges. Unfortunately\, the inherent uncertainties in the system\nwill inevitably damage the credibility of decision-making based on the\ndeterministic model. The stochastic Galerkin (SG) method seeks a solution\nby applying the Galerkin method to the stochastic domain of the equations\nwith uncertainty. However\, the resulting system may fail to preserve the\nhyperbolicity of the original model. In this talk\, we will discuss a\nstrategy to preserve the hyperbolicity of the stochastic systems. We will\nalso discuss a well-balanced hyperbolicity-preserving central-upwind\nscheme for the random shallow water equations and illustrate the\neffectiveness of our schemes on some challenging numerical tests.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-dihan-dai-department-of-mathematics-university-of-utah/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
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