Local-in-space wave breaking criteria for a shallow water wave equation

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2024-01-23 DOI:10.1080/00036811.2024.2306874

Honglin Xiao, Changtai Zhou, Shaoyong Lai

引用次数: 0

Abstract

A shallow water wave equation including the famous Degasperis-Procesi model is considered. Firstly, the L2 conservation law for the equation is derived. Secondly, using the methods of transport equ...

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浅水波方程的局部空间破波准则

研究考虑了包括著名的 Degasperis-Procesi 模型在内的浅水波方程。首先，推导出该方程的 L2 守恒定律。其次，利用输运方程的方法，对该方程进行...

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.