{"id":14518,"date":"2024-10-08T10:09:18","date_gmt":"2024-10-08T15:09:18","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=14518"},"modified":"2024-10-08T10:09:18","modified_gmt":"2024-10-08T15:09:18","slug":"graduate-student-colloquium-gregory-mwamba","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-gregory-mwamba\/","title":{"rendered":"Graduate Student Colloquium: Gregory Mwamba"},"content":{"rendered":"

\"\"<\/h1>\n

Blowup of the Nonlinear Klein-Gordon Equation in FLRW Spacetimes<\/h1>\n

Gregory Mwamba
\nGraduate Student<\/em>
\nUniversity of California – Merced<\/p>\n

The nonlinear Klein-Gordon equations are a class of important evolution equations that describe the movement of spinless relativistic particles, which can lend understanding in many physical applications. In this talk we will demonstrate a sufficient condition for blowup of the nonlinear Klein-Gordon equation, with arbitrarily positive initial energy in Friedmann-Lema\u00eetre-Robertson-Walker spacetimes. This is accomplished using an established concavity method that has been employed for similar PDEs in Minkowski space. This proof relies on the energy inequality associated with this equation.<\/p>\n

This talk will be online at the following zoom link: https:\/\/wisconsin-edu.zoom.us\/j\/94983351854 and will also be streamed in EMS E495.<\/p>\n","protected":false},"excerpt":{"rendered":"

Blowup of the Nonlinear Klein-Gordon Equation in FLRW Spacetimes Gregory Mwamba Graduate Student University of California – Merced The nonlinear Klein-Gordon equations are a class of important evolution equations that describe the movement of spinless relativistic particles, which can lend …<\/p>\n","protected":false},"author":4217,"featured_media":0,"template":"","meta":{"_acf_changed":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":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[70],"class_list":["post-14518","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-colloquia","cat_graduate-student-colloquia"],"yoast_head":"\nMathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-gregory-mwamba\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graduate Student Colloquium: Gregory Mwamba\" \/>\n<meta property=\"og:description\" content=\"Blowup of the Nonlinear Klein-Gordon Equation in FLRW Spacetimes Gregory Mwamba Graduate Student University of California – Merced The nonlinear Klein-Gordon equations are a class of important evolution equations that describe the movement of spinless relativistic particles, which can lend …\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-gregory-mwamba\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematical Sciences\" \/>\n<meta property=\"og:image\" content=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/10\/BANNER_MWAMBA.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-gregory-mwamba\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-gregory-mwamba\\\/\",\"name\":\"Graduate Student Colloquium: Gregory Mwamba - 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