Large-Time Behavior of Momentum Density Support of a Family of Weakly Dissipative Peakon Equations with Higher-Order Nonlinearity

Autor:	Xianxian Su, Xiaofang Dong
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	peakon equations weakly dissipative infinite propagation speed large-time behavior Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 6, p 1325 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11061325
Popis:	In this paper, we mainly study the weakly dissipative peakon equations with higher-order nonlinearity. Under the effect of dissipation, we first derive the infinite propagation speed if the initial datum has a nonnegative compact support. Furthermore, we obtain the large-time behavior of the support of momentum density with the initial data compactly supported. The corresponding results are obtained by using some prior estimates and the energy method. It is worth noting that we need to overcome the difficulties caused by the high-order nonlinear structure and the dissipative effect of the equation. The obtained results generalize the previous results to a certain degree.
Databáze:	Directory of Open Access Journals
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