分数阶Boussinesq-Coriolis方程在变指数Fourier-Besov空间中解的整体适定性和正则性  

Global Well-Posedness and Regularity of Solutions to Fractional Boussinesq-Coriolis Equations in Variable Exponent Fourier-Besov Spaces

作　　者：李风娟 孙小春 吴育联 LI Fengjuan;SUN Xiaochun;WU Yulian(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2024年第5期1043-1051,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11601434)。

摘　　要：基于变指数Fourier-Besov函数空间理论,利用Littlewood-Paley分解工具、 Fourier局部化方法和Banach压缩映射原理,通过建立线性项与非线性项的估计,证明分数阶Boussinesq-Coriolis方程在临界变指数空间FB_(P(·),q)^(4-2a-3/p(·))(R^(3))中解的整体适定性和Gevrey类正则性.Based on the theory of variable exponent Fourier-Besov function spaces,we used Littlewood-Paley decomposition tools,Fourier lo calization methods and Banach contraction mapping principle.By establishing estimations for both linear and nonlinear terms,we proved the global well-pos edness and the Gevrey class regularity of the solutions to the fractional Boussinesq-Coriolis equations in critical variable exponent Fourier-Besov spaces FB_(P(·),q)^(4-2a-3/p(·))(R^(3)).

关 键 词：Boussinesq-Coriolis方程 变指数Fourier-Besov空间 整体适定性 Gevrey类正则性 

分 类 号：O174.2[理学—数学]