An extension of Seliger's wave breaking condition for the nonlocal Whitham type equation
Yongki Lee
TL;DR
This paper extends Seliger's wave breaking condition to a nonlocal Whitham type equation, providing a broader framework for understanding wave breaking phenomena in nonlinear nonlocal shallow water models.
Contribution
The paper introduces an extended wave breaking condition applicable to a nonlocal Whitham type equation, enhancing the theoretical understanding of wave phenomena in complex water models.
Findings
Extended wave breaking condition for nonlocal Whitham equations
Broader applicability to nonlinear nonlocal shallow water equations
Theoretical proof of wave breaking phenomena
Abstract
We extend the wave breaking condition in Seliger's work [Proc. R. Soc. Lond. Ser. A., 303 (1968)], which has been used widely to prove wave breaking phenomena for nonlinear nonlocal shallow water equations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Physics Problems · Differential Equations and Numerical Methods · Differential Equations and Boundary Problems