| Stability of Navier–Stokes System with Singular External Force in Fourier–Herz Space |
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| 作者姓名： | De Zai MIN Qing Kai WANG Gang WU Zhuo Ya YAO |
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| 作者单位： | School of Mathematical Sciences, University of Chinese Academy of Sciences |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 11771423); |
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| 摘 要： | 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 Littlewood–Paley 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 nonstationary problem or with the stationary problem where solution may be singular due to singular external force. In this p...
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