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The inaugural 'Mathematics in the Age of AI' seminar at NYU Courant was packed, featuring Tristan Buckmaster's talk on breakthroughs in Euler equations with smooth forcing.
Anima Anandkumar describes a guest post on Terence Tao's blog detailing a method using Physics-Informed Neural Networks to find singular solutions for the Euler equations in fluid dynamics, highlighting its earlier release and broader applications in scientific computing.
This paper examines finite-time blowup with smooth forcing for three-dimensional incompressible Euler, Boussinesq, and IPM equations.