{"664560":{"#nid":"664560","#data":{"type":"external_news","title":"A New Computer Proof \u2018Blows Up\u2019 Centuries-Old Fluid Equations","body":[{"value":"\u003Cp\u003EFor centuries,\u0026nbsp;mathematicians\u0026nbsp;have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the weather, design better airplanes, and characterize how blood flows through the circulatory system.\u0026nbsp;Perhaps the oldest and most prominent of these equations, formulated by Leonhard Euler more than 250 years ago, describe the flow of an ideal, incompressible fluid: a fluid with no viscosity, or internal friction, and that cannot be forced into a smaller volume. Mathematicians have long suspected that there exist initial conditions that cause the equations to break down. But they haven\u0026rsquo;t been able to prove it.\u0026nbsp;In\u0026nbsp;\u003Ca href=\u0022https:\/\/arxiv.org\/abs\/2210.07191\u0022 rel=\u0022nofollow noopener\u0022 target=\u0022_blank\u0022\u003Ea preprint\u003C\/a\u003E\u0026nbsp;posted online in October, a pair of mathematicians has shown that a particular version of the Euler equations does indeed sometimes fail. \u003Ca href=\u0022https:\/\/rll6.math.gatech.edu\u0022\u003ERafael de la Llave\u003C\/a\u003E, a professor in the \u003Ca href=\u0022https:\/\/math.gatech.edu\u0022\u003ESchool of Mathematics \u003C\/a\u003Ewho studies dynamical systems and mathematical physics, comments on the findings.\u0026nbsp;\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":"","uid":"34434","created_gmt":"2023-01-09 21:23:05","changed_gmt":"2023-01-09 21:23:05","author":"Renay San Miguel","boilerplate_text":"","field_publication":"","field_article_url":"","publication_url":"https:\/\/www.wired.com\/story\/a-new-computer-proof-blows-up-centuries-old-fluid-equations\/","dateline":{"date":"2022-12-25T00:00:00-05:00","iso_date":"2022-12-25T00:00:00-05:00","tz":"America\/New_York"},"extras":[],"groups":[{"id":"1278","name":"College of Sciences"}],"categories":[{"id":"150","name":"Physics and Physical Sciences"}],"keywords":[{"id":"4896","name":"College of Sciences"},{"id":"168854","name":"School of Mathematics"},{"id":"176753","name":"Rafael de la Llave"},{"id":"191687","name":"Euler equations"},{"id":"2584","name":"fluid dynamics"},{"id":"191879","name":"fluid physics"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}