Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle

• Main Authors: Berti, Massimiliano (Author, http://id.loc.gov/vocabulary/relators/aut), Delort, Jean-Marc (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Lecture Notes of the Unione Matematica Italiana, 24
• Subjects: Partial differential equations.; Fourier analysis.; Dynamics.; Ergodic theory.; Functional analysis.; Partial Differential Equations.; Fourier Analysis.; Dynamical Systems and Ergodic Theory.; Functional Analysis.

The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capil...