破碎波
数学
波浪和浅水
波动方程
数学分析
空格(标点符号)
波传播
地质学
物理
海洋学
语言学
哲学
量子力学
作者
Xiao Hu,Changtai Zhou,Shaoyong Lai
标识
DOI:10.1080/00036811.2024.2306874
摘要
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 equation, we establish the boundedness of solutions for the shallow water wave equation. Finally, utilizing the approaches to construct Lyapunov functions, we find local-in-space wave breaking criteria of its solutions on the line R and circle S under certain restrictions on the coefficients of the equation.
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