3 citations · 5 across the 6 of their papers we have counts for
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Non-radial implosion for the defocusing nonlinear Schrödinger equation in and
Gonzalo Cao-Labora, Javier Gómez-Serrano, Jia Shi +1
In this paper we construct smooth, non-radial solutions of the defocusing nonlinear Schrödinger equation that develop an imploding finite time singularity, both in the periodic set…
Desingularization of small moving corners for the Muskat equation
Eduardo García-Juárez, Javier Gómez-Serrano, Susanna V. Haziot +1
In this paper, we investigate the dynamics of solutions of the Muskat equation with initial interface consisting of multiple corners allowing for linear growth at infinity. Specifi…
Smooth self-similar imploding profiles to 3D compressible Euler
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano
The aim of this note is to present the recent results in [Buckmaster, Cao-Labora, Gómez-Serrano, arXiv:2208.09445, 2022], concerning the existence of "imploding singularities" for…
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…
Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy
Javier Gómez-Serrano, Jaemin Park, Jia Shi
In this paper, we prove the existence of locally non-radial solutions to the stationary 2D Euler equations with compact support but non-concentrated around one or several points. O…