{"id":942,"date":"2021-03-31T01:06:29","date_gmt":"2021-03-31T08:06:29","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=942"},"modified":"2021-03-31T01:06:29","modified_gmt":"2021-03-31T08:06:29","slug":"maciej-zworski-uc-berkeley-3","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2021\/03\/31\/maciej-zworski-uc-berkeley-3\/","title":{"rendered":"Maciej Zworski (UC Berkeley)"},"content":{"rendered":"\n\t\t\t\t\n<p>The APDE seminar on Monday, 4\/5, will be given by Maciej Zworski online via Zoom from <strong>4:10 to 5:00pm<\/strong>. To participate, email Georgios Moschidis (gmoschidis@berkeley.edu) or Federico Pasqualotto (fpasqualotto@berkeley.edu).  <\/p>\n\n\n\n<p>Title: Internal waves and homeomorphism of the circle.<\/p>\n\n\n\n<p>Abstract: The connection between the formation of internal waves in fluids and<br>\nthe dynamics of homeomorphisms of the circle was investigated by<br>\noceanographers in the 90s and resulted in novel experimental<br>\nobservations (Maas et al, 1997). The specific homeomorphism is given<br>\nby a chess billiard&#8221; and has been considered by many authors (John<br>\n1941, Arnold 1957, Ralston 1973, \u2026 , Lenci et al 2021). The relation<br>\nbetween the nonlinear dynamics of this homeomorphism and linearized<br>\ninternal waves provides a striking example of classical\/quantum<br>\ncorrespondence (in a classical and surprising setting of fluids!) and,<br>\nusing a model of tori and of zeroth order pseudodifferential<br>\noperators, it has been a subject of recent research, first by Colin de<br>\nVerdi\u00e8re-Saint Raymond 2020 and then by Dyatlov, Galkowski, Wang and<br>\nthe speaker. In these works, many facets of the relationship between<br>\nhyperbolic sources and sinks for the classical dynamics and internal<br>\nwaves in fluids were explained. I will present some of these results<br>\nas well as some numerical discoveries (including those of<br>\nAlmonacid-Nigam 2020). I will also describe various open problems.<\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 4\/5, will be given by Maciej Zworski online via Zoom from 4:10 to 5:00pm. To participate, email Georgios Moschidis (gmoschidis@berkeley.edu) or Federico Pasqualotto (fpasqualotto@berkeley.edu). Title: Internal waves and homeomorphism of the circle. Abstract: The connection between the formation of internal waves in fluids and the dynamics of homeomorphisms of the [&hellip;]<\/p>\n","protected":false},"author":109,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-942","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/942","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/109"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=942"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/942\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=942"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=942"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=942"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}