Miguel M. G. Pascual-Caballo

collaborators

2 papers

math.AP2026

Linear instability of a Burgers--Hilbert traveling wave

Ángel Castro, Javier Gómez-Serrano, Miguel M. G. Pascual-Caballo

We study the stability of traveling wave solutions to the Burgers--Hilbert equation on $T$ in the regime of small frequency $ω$ and large wave speed $c$ . For $ω = 3$ and $c…

math.AP2025

Stationary homogeneous solutions for the inviscid SQG equation

Miguel M. G. Pascual-Caballo

In this paper, we prove the existence of nontrivial stationary homogeneous solutions with infinite energy (unbounded at infinity) for the SQG equation. Our analysis also covers the…