{"663417":{"#nid":"663417","#data":{"type":"external_news","title":"Computer Proof \u2018Blows Up\u2019 Centuries-Old Fluid Equations","body":[{"value":"\u003Cp\u003EFor centuries, mathematicians 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, that cannot be forced into a smaller volume. In a new study, mathematicians show that a particular version of the Euler equations does indeed sometimes fail. The proof marks a major breakthrough \u0026mdash; and while it doesn\u0026rsquo;t completely solve the problem for the more general version of the equations, it offers hope that such a solution is finally within reach. \u003Ca href=\u0022https:\/\/rll6.math.gatech.edu\u0022\u003ERafael de la Llave\u003C\/a\u003E, professor in the \u003Ca href=\u0022https:\/\/math.gatech.edu\u0022\u003ESchool of Mathematics\u003C\/a\u003E\u0026nbsp;who\u0026nbsp;did not work on the study, comments on its findings.\u0026nbsp;\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":"","uid":"34434","created_gmt":"2022-11-22 21:38:27","changed_gmt":"2022-11-22 21:38:27","author":"Renay San Miguel","boilerplate_text":"","field_publication":"","field_article_url":"","publication_url":"https:\/\/www.quantamagazine.org\/computer-helps-prove-long-sought-fluid-equation-singularity-20221116\/","dateline":{"date":"2022-11-16T00:00:00-05:00","iso_date":"2022-11-16T00:00:00-05:00","tz":"America\/New_York"},"extras":[],"groups":[{"id":"1278","name":"College of Sciences"}],"categories":[{"id":"134","name":"Student and Faculty"}],"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":"173916","name":"fluids"}],"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":""}}}