Quasi-periodic incompressible Euler flows in 3D
Analysis of PDEs
2020-04-01 v1
Abstract
We prove the existence of time-quasi-periodic solutions of the incompressible Euler equation on the three-dimensional torus , 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.
Cite
@article{arxiv.2003.14313,
title = {Quasi-periodic incompressible Euler flows in 3D},
author = {Pietro Baldi and Riccardo Montalto},
journal= {arXiv preprint arXiv:2003.14313},
year = {2020}
}