The limiting uniqueness criterion by vorticity for Navier-Stokes equations in Besov spaces

DOI10.2748/tmj/1113246381zbMath1083.35096OpenAlexW2032576852MaRDI QIDQ1771515

Yasushi Taniuchi, Takayoshi Ogawa

Publication date: 18 April 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1113246381

zbMATH Keywords

Orlicz spacecritical Sobolev inequalityLeray-Hopf's weak solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (6)

Uniqueness of weak solutions to an electrohydrodynamics model ⋮ Enhanced dissipation and axisymmetrization of two-dimensional viscous vortices ⋮ Brezis-Gallouet-Wainger type inequality and its application to the Navier-Stokes equations ⋮ Interpolation inequality of logarithmic type in abstract Besov spaces and an application to semilinear evolution equations ⋮ Regularity condition by mean oscillation to a weak solution of the 2-dimensional harmonic heat flow into sphere ⋮ Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes model with a logistic source.

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