Colloquium / Seminars

Topic：An isoperimetric sloshing problem in shallow containers
Speaker：Prof. Chee Han Tan
　　　　(Dept. of Applied Mathematics, National Sun-Yat-sen University)
Date time：Dec. 3, 2024 13:30 - 14:20
Venue：SA213
Abstract：
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.
Download：Talk_1131203.pdf

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