The Korteweg-de Vries equation, Boussinesq equation, and many other equations can be formally derived as approximate equations for the two-dimensional water wave problem in the limit of long waves. Here we consider the classical problem concerning the validity of these equations for the water wave p
Corrigendum: Long-Wave Limit for the Water Wave Problem I. The Case of Zero Surface Tension
✍ Scribed by Guido Schneider; C. Eugene Wayne
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 73 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We consider two‐dimensional water waves of infinite depth, periodic in the horizontal direction. It has been proven by Wu (in the slightly different nonperiodic setting) that solutions to this initial value problem exist in the absence of surface tension. Recently Ambrose has proven tha
A new and simpler derivation of the equations of the "Already Unified Field Theory" of Maxwell, Einstein, and Rainich is presented. The approach is based on an extension to the manifold of general relativity of the intrinsic tensor techniques described in a previous paper.