We prove the existence of time-quasi-periodic solutions of the incompressible Euler equation on the three-dimensional torus T^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.
Quasi-periodic incompressible Euler flows in 3D / Baldi, Pietro; Montalto, Riccardo. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 384:107730(2021), pp. 1-74. [10.1016/j.aim.2021.107730]
Quasi-periodic incompressible Euler flows in 3D
Baldi Pietro;
2021
Abstract
We prove the existence of time-quasi-periodic solutions of the incompressible Euler equation on the three-dimensional torus T^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.File in questo prodotto:
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