{"id":623,"date":"2018-12-07T13:43:05","date_gmt":"2018-12-07T21:43:05","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=623"},"modified":"2018-12-07T13:43:05","modified_gmt":"2018-12-07T21:43:05","slug":"benjamin-harrop-griffiths-ucla","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2018\/12\/07\/benjamin-harrop-griffiths-ucla\/","title":{"rendered":"Benjamin Harrop-Griffiths (UCLA)"},"content":{"rendered":"<p>\t\t\t\tThe next APDE seminar will be given on Monday, 12\/11 by Benjamin Harrop-Griffiths in Evans 740 from 4:10 to 5pm.<\/p>\n<div><b>Title:<\/b> Vortex filament solutions of the Navier-Stokes equations<\/div>\n<div><b>Abstract:<\/b> From Helmholtz to vaping hipsters, the dynamics of vortex filaments, i.e. fluids with vorticity concentrated along a smooth curve, has been a topic of significant interest in fluid dynamics. The global well-posedness of vortex filaments with small circulation follows from the theory of mild solutions of the 3d Navier-Stokes equations at critical regularity. However, for filaments with large circulation these results no longer apply. In this talk we discuss a proof of well-posedness (in a suitable sense) for vortex filaments of arbitrary circulation. Besides their physical interest, these results are the first to give well-posedness in a neighborhood of large self-similar solutions of the 3d Navier-Stokes without additional symmetry assumptions. This is joint work with Jacob Bedrossian and Pierre Germain.<\/div>\n<div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>The next APDE seminar will be given on Monday, 12\/11 by Benjamin Harrop-Griffiths in Evans 740 from 4:10 to 5pm. Title: Vortex filament solutions of the Navier-Stokes equations Abstract: From Helmholtz to vaping hipsters, the dynamics of vortex filaments, i.e. fluids with vorticity concentrated along a smooth curve, has been a topic of significant interest [&hellip;]<\/p>\n","protected":false},"author":104,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-623","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/623","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\/104"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=623"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/623\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=623"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=623"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}