- 240 Downloads
This second chapter is devoted to the statement of the main theorem we shall establish. The goal of the book is to prove that, for any arbitrary integer N, the capillary-gravity water waves equations, with periodic, even initial data, smooth enough and of small size 𝜖, have a solution defined on a time interval of length cN𝜖−N, if the gravity-capillary parameters are taken outside a subset of zero measure.
- 55.Lannes, D.: The Water Waves Problem. Mathematical Surveys and Monographs, vol. 188. American Mathematical Society, Providence, RI (2013). https://doi.org/10.1090/surv/188. Mathematical analysis and asymptotics