摘要
<正>Stability of Navier-Stokes System with Singular External Force in Fourier-Herz Space De Zai MIN Qing Kai WANG Gang WU Zhuo Ya YAO Abstract We prove the asymptotic properties of the solutions to the 3D Navier-Stokes system with singular external force,by making use of Fourier localization method,the LittlewoodPaley theory and some subtle estimates in Fourier-Herz space.The main idea of the proof is motivated by that of Cannone et al.[J.Differential Equations,314,316-339 (2022)].We deal either with the non-stationary problem or with the stationary problem where solution may be singular due to singular external force.In this paper,the Fourier-Herz space includes the function space of pseudomeasure type used in Cannone et al.[J.Differential Equations,314,316-339 (2022)]