Quasi-periodic incompressible Euler flows in 3D
Abstract
We prove the existence of time-quasi-periodic solutions of the incompressible Euler equation on the three-dimensional torus 3, with a small time-quasi-periodic external force. The solutions are perturbations of constant (Diophantine) vector fields, and they are constructed by means of normal forms and KAM techniques for reversible quasilinear PDEs.
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