{"id":3426,"date":"2024-03-30T10:28:34","date_gmt":"2024-03-30T17:28:34","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3426"},"modified":"2024-03-30T10:28:34","modified_gmt":"2024-03-30T17:28:34","slug":"chiu-yen-kao-claremont-mckenna-college","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/chiu-yen-kao-claremont-mckenna-college\/","title":{"rendered":"Chiu-Yen Kao (Claremont McKenna College)"},"content":{"rendered":"

Title<\/strong>: Geometric\u00a0Optimization\u00a0Involving Partial Differential Equations and Its Applications<\/p>\n

Speaker:\u00a0<\/strong>Professor Chiu-Yen Kao, Claremont McKenna College, Claremont, CA USA<\/p>\n

Abstract<\/strong>: Optimal geometric design for energy functionals, which depends on solutions to partial differential equations, provides a vast number of interesting and challenging mathematical problems. One of the famous problems is that L. Rayleigh conjectured that the disk should minimize the fundamental frequency of vibration (the square root of the first Laplace-Dirichlet eigenvalue) among all\u00a0shapes of equal area, more than a century ago. In this talk, we will share our recent findings related to geometric optimization for eigenvalue problems. Our approach involves the development of various computational methods to optimize Steklov eigenvalues and Laplace-Beltrami eigenvalues. Additionally, we explore applications of these methods.<\/p>\n","protected":false},"excerpt":{"rendered":"

Title: Geometric\u00a0Optimization\u00a0Involving Partial Differential Equations and Its Applications Speaker:\u00a0Professor Chiu-Yen Kao, Claremont McKenna College, Claremont, CA USA Abstract: Optimal geometric design for energy functionals, which depends on solutions to partial […]<\/p>\n","protected":false},"author":233,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[15],"class_list":["post-3426","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-applied-math-seminar","cat_applied-math-seminar"],"acf":[],"yoast_head":"\nChiu-Yen Kao (Claremont McKenna College) - 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