一类拟线性浅水波方程的局部适定性
Local Well-Posedness of a Class of Quasilinear Shallow Water Wave Equations
DOI: 10.12677/aam.2024.136279, PDF,    科研立项经费支持
作者: 苏仙仙, 董晓芳*, 滕凯民：太原理工大学数学学院，山西 太原
关键词: 浅水波方程；Besov空间；局部适定性；Shallow Water Equation； Besov Spaces； Local Well-Posedness
摘要: 本文研究一类新的拟线性浅水波方程，该方程是在描述不可压缩旋转二维浅水的底层剪切流效应的模型时被正式推导出来的。在本文中，我们主要研究该方程在Besov空间{Bp,rs(Rn)|s∈R,1≤p,r≤+∞}中的局部适定性。
Abstract: In this paper, we study a new class of quasilinear shallow water wave equations, which is formally derived in describing the bottom shear flow effect of incompressible rotating two-dimensional shallow water. In this paper, we obtain the local well-posedness of the equation in Besov space{Bp,rs(Rn)|s∈R,1≤p,r≤+∞}.
文章引用：苏仙仙, 董晓芳, 滕凯民. 一类拟线性浅水波方程的局部适定性[J]. 应用数学进展, 2024, 13(6): 2912-2929. https://doi.org/10.12677/aam.2024.136279

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