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math.AP2024
Traveling waves near Poiseuille 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 Lipschitz traveling waves for the 2D Euler equation at an arbitrarily small distance from the Poiseui…
math.AP2023★ 1 cited
Time periodic solutions for the 2D Euler equation near Taylor-Couette flow
Ángel Castro, Daniel Lear
In this paper we consider the incompressible 2D Euler equation in an annular domain with non-penetration boundary condition. In this setting, we prove the existence of a family of…
math.AP2014★ 68 cited
Fully nonlinear long-waves models in presence of vorticity
Angel Castro, David Lannes
We study here Green-Naghdi type equations (also called fully nonlinear Boussinesq, or Serre equations) modeling the propagation of large amplitude waves in shallow water. The novel…