Abstract
This paper mainly focus on the global existence of the strong solutions for the generalized Navier-Stokes equations with damping. We obtain the global existence and uniqueness when \(\alpha \ge {5 \over 4}\) for β ≥ 1 and when \({1 \over 2} + {2 \over \beta} \le \alpha \le {5 \over 4}\,{\rm{for}}\,\,{8 \over 3} \le \beta < + \infty \).
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This research was supported by NSFC (No. 12171014) and by the National Key Research and Development Project of China Grant (No. 2017YFC1500301), Joint key project of the National Science Foundation of China and the China earthquake administration (No. U1839206) and by Research Foundation for Advanced Talents of Beijing Technology and Business University (No. 19008020161).
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Cai, Xj., Zhou, Yj. Global Existence of Strong Solutions for the Generalized Navier-Stokes Equations with Damping. Acta Math. Appl. Sin. Engl. Ser. 38, 627–634 (2022). https://doi.org/10.1007/s10255-022-1106-4
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DOI: https://doi.org/10.1007/s10255-022-1106-4