Prodi–Serrin condition for 3D Navier–Stokes equations via one directional derivative of velocity
نویسندگان
چکیده
In this paper, we consider the conditional regularity of weak solution to 3D Navier–Stokes equations. More precisely, prove that if one directional derivative velocity, say ?3u, satisfies ?3u?Lp0,1(0,T;Lq0(R3)) with 2p0+3q0=2 and 32<q0<+?, then is regular on (0,T]. The proof based new local energy estimates introduced by Chae-Wolf (2019) [4] Wang-Wu-Zhang (2020) [21].
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.07.015