Removable time-dependent singularities of solutions to the Stokes equations

DOI10.1016/j.jde.2022.10.005zbMath1501.35283OpenAlexW4306989863MaRDI QIDQ2097024

Hideo Kozono, Fumitaka Wakabayashi, Erika Ushikoshi

Publication date: 11 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.10.005

zbMATH Keywords

Stokes equationsuniqueness of weak solutionsremovable singularityBogovskii lemmamoving singularity in time

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Singularity in context of PDEs (35A21) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Removability of time-dependent singularities of solutions to the Navier-Stokes equations

Cites Work

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• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
• Removable singularities of weak solutions to the navier-stokes equations

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