Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838280 | Nonlinear Analysis: Real World Applications | 2011 | 5 Pages |
Abstract
In this note, we prove the non-existence of non-zero, static, finite-energy solutions for the classical water wave problem in three dimensions, for a large class of non-trivial bottom surface topographies. Then, using some Lie symmetry analysis, we extend this result for travelling waves.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
A.C.L. Ashton,