A localized criterion for the regularity of solutions to Navier-Stokes equations

DOI10.1016/j.jde.2024.09.028MaRDI QIDQ6644201

Ran Zhuo, Congming Li, Chenkai Liu

Publication date: 27 November 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

regularitya priori estimatesincompressible Navier-Stokes equationsmillennium problemlocalized \(L^{s, r}\) space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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