准地转方程在Besov-Herz空间上的局部适定性
On the Well-Posedness of the Quasi-Geostrophic Equation in the Besov-Herz Spaces
DOI: 10.12677/PM.2020.105065, PDF,    科研立项经费支持
作者: 徐艳霞, 陈晓莉*：江西师范大学数学与信息科学学院，江西 南昌
关键词: 局部适定性；Besov-Herz空间；准地转方程；Local Well-Posedness； Besov-Herz Spaces； Quasi-Geostrophic Equation
摘要: 本文利用Littlewood-Paley分解和交换子估计，建立了无粘准地转方程在Besov-Herz空间上的局部适定性，推广了和的结果。
Abstract: In this paper, using the Littlewood-Paley decomposition and commutator estimates, we establish the local well-posedness for the quasi-geostrophic equation without viscosity in Besov-Herz spaces, which improves the results in and.
文章引用：徐艳霞, 陈晓莉. 准地转方程在Besov-Herz空间上的局部适定性[J]. 理论数学, 2020, 10(5): 530-539. https://doi.org/10.12677/PM.2020.105065

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