Premium
Global Analysis of a Model for Capillary Water Waves in Two Dimensions
Author(s) -
Ionescu Alexandru D.,
Pusateri Fabio
Publication year - 2016
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21654
Subject(s) - quadratic equation , capillary action , capillary wave , dimension (graph theory) , preprint , surface tension , mathematics , gravitational wave , mathematical analysis , mechanics , geometry , physics , meteorology , pure mathematics , thermodynamics , quantum mechanics , astrophysics
In this paper we prove a global regularity result for a quadratic quasilinear model associated to the water waves system with surface tension and no gravity in dimension 2 (the capillary waves system). The model we consider here retains most of the difficulties of the full capillary water waves system, including the delicate time resonance structure and modified scattering. It is slightly simpler, however, at the technical level, and our goal here is to present our method in this simplified situation. The analysis of the full system is presented in a preprint by the authors (2014). © 2016 Wiley Periodicals, Inc.