1. Stability of Navier–Stokes System with Singular External Force in Fourier–Herz Space.
- Author
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Min, De Zai, Wang, Qing Kai, Wu, Gang, and Yao, Zhuo Ya
- Subjects
LITTLEWOOD-Paley theory ,SEPARATION of variables ,DIFFERENTIAL equations ,FUNCTION spaces ,NAVIER-Stokes equations - 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 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 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)] [ABSTRACT FROM AUTHOR]
- Published
- 2023
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