Crouseilles, Nicolas; Faou, Erwan Quasi-periodic solutions of the 2D Euler equation. (English) Zbl 1277.35279 Asymptotic Anal. 81, No. 1, 31-34 (2013). Summary: We consider the two-dimensional Euler equation with periodic boundary conditions. We construct time quasi-periodic solutions of this equation made of localized travelling profiles with compact support propagating over a stationary state depending on only one variable. The direction of propagation is orthogonal to this variable, and the support is concentrated on flat strips of the stationary state. The frequencies of the solution are given by the locally constant velocities associated with the stationary state. Cited in 1 ReviewCited in 9 Documents MSC: 35Q31 Euler equations 35B10 Periodic solutions to PDEs Keywords:Euler equation; quasi-periodic solutions PDFBibTeX XMLCite \textit{N. Crouseilles} and \textit{E. Faou}, Asymptotic Anal. 81, No. 1, 31--34 (2013; Zbl 1277.35279) Full Text: DOI arXiv