Boussinesq-Coriolis方程在变指数 Fourier-Besov-Morrey 空间中解的 整体适定性
Global Well-Posednessfor the Boussinesq-CoriolisEquations in Variable ExponentFourier-Besov-Morrey Spaces
DOI: 10.12677/PM.2024.142068, PDF, 下载: 46  浏览: 121  国家自然科学基金支持
作者: 马偌鸿, 孙小春*, 吴育联：西北师范大学，数学与统计学院，甘肃 兰州
关键词: Boussinesq-Coriolis方程；整体适定性；变指数Fourier-Besov-Morrey空间；Boussinesq-Coriolis Equations； Global Well-Posedness； Variable Exponent Fourier-Besov-Morrey Spaces
摘要: 本文考虑 Boussinesq-Coriolis 方程在变指数 Fourier-Besov-Morrey 空间 中的Cauchy 问题。 利用 littlewood-Paley 分解工具和 Fourier 局部化方法，我们得到了小初值(u0,θ0) 整体解的存在唯一性。
Abstract: We consider the Cauchy problem of the three-dimensional Boussinesq equations with Coriolis force in variable exponent Fourier-Besov-Morrey spaces in this paper. By using littlewood-Paley decomposition and the Fourier localization argument, we obtain the unique existence of the global solution for small initial data (u0,θ0).
文章引用：马偌鸿, 孙小春, 吴育联. Boussinesq-Coriolis方程在变指数 Fourier-Besov-Morrey 空间中解的 整体适定性[J]. 理论数学, 2024, 14(2): 682-694. https://doi.org/10.12677/PM.2024.142068

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