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CATEGORIES:Seminar
DESCRIPTION:The School of Natural Sciences\n\nPresents\n\n High Spots for t
he Ice-Fishing Problem with Surface Tension\n\nNathan Willis\, Ph.D.\n\nDep
artment of Mathematics \n\nUniversity of Utah\n\nDETAILS:\n\nFriday\, Febru
ary 25th\, 2022\n\n3:00pm-4:30pm\n\nTo Zoom in\, please use this link: http
s://ucmerced.zoom.us/j/88105800526\n\n \n\nABSTRACT:\n\nIn the ice-fishing
problem\, a half-space of fluid lies below an infinite rigid plate (“the ic
e”) with a hole. In this talk\, we will discuss the ice-fishing problem i
ncluding the effects of surface tension on the free surface. The dimensionl
ess number that describes the effect of surface tension is called the Bond
number. For holes that are infinite parallel strips or circular holes\, th
e problem is transformed to an equivalent eigenvalue integro-differential e
quation on an interval and expanded in the appropriate basis (Legendre and
radial polynomials\, respectively). Computational methods are used to demon
strate that the high spot\, i.e.\, the maximal elevation of the fundamental
sloshing profile\, for the IFP is in the interior of the free surface for
large Bond numbers\, which is consistent with previous zero surface tension
results. However\, we will show that for sufficiently small Bond number th
e high spot is on the boundary of the free surface. This talk is based on r
ecent work completed in collaboration with Chee Han Tan\, Christel Hohenegg
er\, and Braxton Osting.\n\n \n\nBIOGRAPHY:\n\nNathan Willis is an applied
mathematician interested in problems motivated by fluid dynamics. He focuse
s on models involving partial differential equations and ordinary different
ial equations and specializes in solving these problems with a mixture of a
symptotic analysis and numerical methods. Creating high-fidelity simulation
s of physical systems is of primary interest to his current research as wel
l as future career goals. Nathan will be graduating with his PhD in Mathema
tics from the University of Utah this Spring semester. Nathan’s doctoral di
ssertation focuses on the linear sloshing model for ideal fluids in an unbo
unded domain while including surface tension effects and the steady streami
ng phenomenon of Newtonian and non-Newtonian fluids.\n\n \n\nFor more infor
mation\, please contact: \n\nProf. Suzanne Sindi at ssindi@ucmerced.edu.
DTEND:20220226T003000Z
DTSTAMP:20221201T140305Z
DTSTART:20220225T230000Z
LOCATION:Granite Pass 135
SEQUENCE:0
SUMMARY:Applied Math Seminar Presentation: High Spots for the Ice-Fishing P
roblem with Surface Tension
UID:tag:localist.com\,2008:EventInstance_39262657126640
URL:https://events.ucmerced.edu/event/applied_math_seminar_presentation_hig
h_spots_for_the_ice-fishing_problem_with_surface_tension
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