68 citations · 351 across the 40 of their papers we have counts for
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math.AP2018★ 5 cited
Convexity of Whitham's highest cusped wave
Alberto Enciso, Javier Gómez-Serrano, Bruno Vergara
We prove the existence of a periodic traveling wave of extreme form of the Whitham equation that has a convex profile between consecutive stagnation points, at which it is known to…
math.AP2018
Computer-assisted proofs in PDE: a survey
Javier Gómez-Serrano
In this survey we present some recent results concerning computer-assisted proofs in partial differential equations, focusing in those coming from problems in incompressible fluids…
math.AP2018
On the existence of stationary patches
Javier Gómez-Serrano
In this paper, we show the existence of a family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in [F. de la Hoz, Z. Hassainia,…