Korteweg-de Vries方程的Benjamin-Bona-Mahony正则化

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-07-16 DOI:10.1016/j.jde.2025.113626

Younghun Hong , Junyeong Jang , Changhun Yang

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引用次数: 0

摘要

引入了Benjamin-Bona-Mahony方程（BBM）作为Korteweg-de Vries方程（KdV）的正则化形式本杰明，J.L.博纳，和J.J.马奥尼，菲洛斯。反式。罗伊。Soc。伦敦爵士。A 272(1220)(1972)，第47-78页。本文建立了能量类解从BBM到KdV的收敛性。因此，利用守恒定律，我们扩展了已知的BBM正则化有效的时间区间。

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On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation

The Benjamin-Bona-Mahony equation (BBM) is introduced as a regularization of the Korteweg-de Vries equation (KdV) for long water waves [T.B. Benjamin, J.L. Bona, and J.J. Mahony, Philos. Trans. Roy. Soc. London Ser. A 272(1220) (1972), pp. 47–78]. In this paper, we establish the convergence from the BBM to the KdV for energy class solutions. As a consequence, employing the conservation laws, we extend the known temporal interval of validity for the BBM regularization.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics