西北师范大学学报（自然科学版）2026，Vol.62Issue(1)：77-92,16.DOI:10.16783/j.cnki.nwnuz.2026.01.010
时间加权的Besov空间上带外力的分数阶Navier-Stokes方程
Fractional Navier-Stokes equations with external forces in time-weighted Besov spaces
摘要
Abstract
This paper discusses the existence and uniqueness of mild solutions of fractional Navier-Stokes equations in time-weighted Besov spaces.The existence and uniqueness theorems of global mild solutions with small initial data and external forces are given,and the existence results of local mild solutions with given data are studied.The proofs are mainly based on the Lebesgue convergence theorem,implicit function theorem of Banach space,Lp-Lq estimation of Navier-Stokes equations in Besov spaces and relative properties of Mittag-Leffler functions.关键词
分数阶Navier-Stokes方程/时间加权的Besov空间/mild解/适定性Key words
fractional Navier-Stokes equation/time-weighted Besov space/mild solution/well-posedness分类
数理科学引用本文复制引用
李琳玉,杨和..时间加权的Besov空间上带外力的分数阶Navier-Stokes方程[J].西北师范大学学报（自然科学版）,2026,62(1):77-92,16.基金项目
国家自然科学基金资助项目(12461037) （12461037）
甘肃省自然科学基金资助项目(24JRRA780) （24JRRA780）
