Leray's Backward Self-Similar Solutions to the 3D Navier--Stokes Equations in Morrey Spaces

DOI10.1137/20M1346055zbMath1492.35188arXiv2006.15776OpenAlexW3038018663MaRDI QIDQ5078590

Quan-sen Jiu, Wei Wei, Yan Qing Wang

Publication date: 23 May 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15776

zbMATH Keywords

nonexistencethree-dimensional Navier-Stokes equationsbackward self-similar solutionshomogeneous Morrey spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Self-similar solutions to PDEs (35C06)

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