68 citations · 351 across the 40 of their papers we have counts for
4 papers · 1 filter
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,…
Self-similar spirals for the generalized surface quasi-geostrophic equations
Claudia García, Javier Gómez-Serrano
In this paper we construct a large class of non-trivial (non-radial) self-similar solutions of the generalized surface quasi-geostrophic equation (gSQG). To the best of our knowled…
Highest Cusped Waves for the Burgers-Hilbert equation
Joel Dahne, Javier Gómez-Serrano
In this paper we prove the existence of a periodic highest, cusped, traveling wave solution for the Burgers-Hilbert equation and give its asymptotic behavi…
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…