A sharp threshold for wave breaking in nonlocal Whitham-type equations

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Autore principale:	Lee, Yongki
Natura:	Preprint
Pubblicazione:	2026
Soggetti:	Analysis of PDEs 35L05, 35B30
Accesso online:	Acceder al recurso
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author	Lee, Yongki
author_facet	Lee, Yongki
contents	This paper establishes a sharp, expanded wave-breaking criterion for a class of nonlinear nonlocal Whitham-type equations, significantly generalizing the classical threshold introduced by Seliger. While the system of inequalities governing the spatial extrema of the fluid deviation has been extensively studied, establishing a sharp condition has remained a challenge. This difficulty is primarily due to the non-cooperative nature of the system, which precludes the application of standard comparison principles. We rigorously overcome this analytical obstacle by identifying the exact nonlinear threshold that confines the solutions of the inequality system and analyzing its time evolution.
format	Preprint
id	arxiv_https___arxiv_org_abs_2605_24839
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	A sharp threshold for wave breaking in nonlocal Whitham-type equations Lee, Yongki Analysis of PDEs 35L05, 35B30 This paper establishes a sharp, expanded wave-breaking criterion for a class of nonlinear nonlocal Whitham-type equations, significantly generalizing the classical threshold introduced by Seliger. While the system of inequalities governing the spatial extrema of the fluid deviation has been extensively studied, establishing a sharp condition has remained a challenge. This difficulty is primarily due to the non-cooperative nature of the system, which precludes the application of standard comparison principles. We rigorously overcome this analytical obstacle by identifying the exact nonlinear threshold that confines the solutions of the inequality system and analyzing its time evolution.
title	A sharp threshold for wave breaking in nonlocal Whitham-type equations
topic	Analysis of PDEs 35L05, 35B30
url	https://arxiv.org/abs/2605.24839

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