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math.AP2022★ 12 cited
Smooth imploding solutions for 3D compressible fluids
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano
Building upon the pioneering work [Merle, Raphaël, Rodnianski, and Szeftel, Ann. of Math., 196(2):567-778, 2022, Ann. of Math., 196(2):779-889, 2022, Invent. Math., 227(1):247-413,…
math.AP2022★ 2 cited
Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks
Yongji Wang, Ching-Yao Lai, Javier Gómez-Serrano +1
Whether there exist finite time blow-up solutions for the 2-D Boussinesq and the 3-D Euler equations are of fundamental importance to the field of fluid mechanics. We develop a new…