| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7221981 | Nonlinear Analysis: Real World Applications | 2018 | 16 Pages |
Abstract
Wave breaking of the water wave is important and interesting to physicist and mathematician. The present article is devoted to studying wave breaking (bounded solutions with unbounded derivative) of the Fornberg-Whitham equation. By virtue of the conservation law of the L2 norm of solutions which is found in this paper, two very useful a priori estimates are derived (see Theorem 2.1). Based on the L2-conservation and Lâ-estimate of solutions, several blow-up phenomena of the Fornberg-Whitham equation on line R
and on circle T are established.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Xinglong Wu, Zeng Zhang,