{"id":2007,"date":"2026-05-13T20:02:06","date_gmt":"2026-05-13T20:02:06","guid":{"rendered":"https:\/\/as.vanderbilt.edu\/math\/?p=2007"},"modified":"2026-07-05T18:27:50","modified_gmt":"2026-07-05T18:27:50","slug":"vanderbilt-alumni-featured-in-ams-on-breakthrough-fluid-dynamics-research","status":"publish","type":"post","link":"https:\/\/as.vanderbilt.edu\/math\/2026\/05\/13\/vanderbilt-alumni-featured-in-ams-on-breakthrough-fluid-dynamics-research\/","title":{"rendered":"Profs. Jared Speck and Leo Abbrescia publish article in the Notices"},"content":{"rendered":"<p><strong style=\"font-size: 1.2rem\">New Research Highlights How Shock Waves Form in 3D Fluids<\/strong><\/p>\n<div>\n<p>A new feature in the <em>Notices of the American Mathematical Society<\/em> explores advances in understanding how shock waves develop in three-dimensional compressible fluids, one of the most challenging problems in modern mathematical physics.<\/p>\n<p>Authored by Leonardo Abbrescia, a former postdoctoral research at Vanderbilt (and now an Assistant Professor at Georgia Tech), and and Jared Speck, a Stevenson Professor of Mathematics at Vanderbilt, the article examines how smooth fluid motion can evolve into singularities that produce shock waves.<\/p>\n<p>Their work connects geometry, partial differential equations, and physics, with implications for areas such as aerospace engineering, weather prediction, and astrophysics.<\/p>\n<p><strong>Read the full article:<\/strong><br \/>\n<a href=\"https:\/\/www.ams.org\/journals\/notices\/202603\/rnoti-p185.pdf\">https:\/\/www.ams.org\/journals\/notices\/202603\/rnoti-p185.pdf<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>New Research Highlights How Shock Waves Form in 3D Fluids A new feature in the Notices of the American Mathematical Society explores advances in understanding how shock waves develop in three-dimensional compressible fluids, one of the most challenging problems in modern mathematical physics. Authored by Leonardo Abbrescia, a former postdoctoral research at Vanderbilt (and now&#8230;<\/p>\n","protected":false},"author":219,"featured_media":2008,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[],"acf":[],"jetpack_featured_media_url":"https:\/\/as.vanderbilt.edu\/math\/wp-content\/uploads\/sites\/69\/2026\/05\/Add-a-heading.png","_links":{"self":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/2007"}],"collection":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/users\/219"}],"replies":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/comments?post=2007"}],"version-history":[{"count":5,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/2007\/revisions"}],"predecessor-version":[{"id":2092,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/2007\/revisions\/2092"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media\/2008"}],"wp:attachment":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media?parent=2007"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/categories?post=2007"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/tags?post=2007"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}