演講公告

演講主題：An isoperimetric sloshing problem in shallow containers
主講人：陳志漢教授 (國立中山大學應用數學系)
演講日期：2024年12月3日(二) 13:30 –14:20
演講地點：(光復校區) 科學一館213室
摘要內容：
Abstract
The classical isoperimetric inequality asserts that the sphere encloses the largest volume with a given surface area, but we can pretty much ask the problem of optimising any quantity with a given geometrical constraint. We will review existing results for the problem of optimising the kth-eigenvalue of the Laplacian with various boundary conditions subject to volume constraint. We will then discuss the problem of optimising the first nonzero eigenvalue of a certain coupled ODE that is motivated by the sloshing problem in fluid dynamics.
相關檔案：Talk_1131203.pdf

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