Sufficient conditions of blowup to a shallow water wave equation

Autor: Changtai Zhou, Jin Hong, Shaoyong Lai
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Applied Mathematics, Vol 23, Iss , Pp 100487- (2024)
Druh dokumentu: article
ISSN: 2590-0374
DOI: 10.1016/j.rinam.2024.100487
Popis: The blow-up features of a shallow water wave equation on the line R are investigated. The L2 conservation law is utilized to derive several estimates of solutions for the equation. Sufficient conditions for wave breaking and lifespan of the solutions are established. Our main results contain parts of the wave breaking conditions for the Fornberg–Whitham and Degasperis–Procesi equations in the previous literatures.
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