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math.AP2021
Traveling waves near Couette flow for the 2D Euler equation
Ángel Castro, Daniel Lear
In this paper we reveal the existence of a large family of new, nontrivial and smooth traveling waves for the 2D Euler equation at an arbitrarily small distance from the Couette fl…
math.AP2021★ 2 cited
Stability of traveling waves for the Burgers-Hilbert equation
Ángel Castro, Diego Córdoba, Fan Zheng
We consider smooth solutions of the Burgers-Hilbert equation that are a small perturbation from a global periodic traveling wave with small amplitude . We use a modified ene…