68 citations · 351 across the 40 of their papers we have counts for
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Existence of analytic non-convex V-states
Gerard Castro-López, Javier Gómez-Serrano
V-states are uniformly rotating vortex patches of the incompressible 2D Euler equation and the only known explicit examples are circles and ellipses. In this paper, we prove the ex…
A note on the periodic Hilbert Transform on a strip
Javier Gómez-Serrano, Sieon Kim
In this note we prove a conjecture by Constantin--Strauss--Vărvărucă related to the finite depth water wave problem, tightening their results. The proof uses identities related to…
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…