Differential and Integral Equations

Regularity criteria for Navier-Stokes and related system

Jishan Fan and Tohru Ozawa

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We show some regularity criteria for Navier-Stokes equations, the harmonic heat flow, two liquid crystals models, and a model for magneto-elastic materials. The method of proof depends on a systematic use of interpolation inequalities in Besov spaces and is independent on logarithmic inequalities.

Article information

Differential Integral Equations, Volume 30, Number 1/2 (2017), 101-114.

First available in Project Euclid: 20 January 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 35K55: Nonlinear parabolic equations 58E20: Harmonic maps [See also 53C43], etc. 58J35: Heat and other parabolic equation methods


Fan, Jishan; Ozawa, Tohru. Regularity criteria for Navier-Stokes and related system. Differential Integral Equations 30 (2017), no. 1/2, 101--114. https://projecteuclid.org/euclid.die/1484881221

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