Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: beyond the Lions exponent

DOI10.1016/j.matpur.2024.103602zbMath1547.35499MaRDI QIDQ6597804

Ya-Chun Li, Deng Zhang, Zirong Zeng, Peng Qu

Publication date: 4 September 2024

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

non-uniquenessconvex integrationhyperdissipative Navier-Stokes equationsLadyženskaja-Prodi-Serrin condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

This page was built for publication: Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: beyond the Lions exponent