Differential and Integral Equations
- Differential Integral Equations
- Volume 21, Number 5-6 (2008), 443-457.
On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations
We obtain some regularity conditions for solutions of the 3D generalized Navier-Stokes equations with fractional powers of the Laplacian, in terms of the velocity, the vorticity, and the pressure in Besov space, Triebel-Lizorkin space, and Lorentz space, respectively. We also present a regularity condition for the 3D Lagrangian averaged Euler equations.
Differential Integral Equations, Volume 21, Number 5-6 (2008), 443-457.
First available in Project Euclid: 20 December 2012
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Fan, Jishan; Ozawa, Tohru. On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations. Differential Integral Equations 21 (2008), no. 5-6, 443--457. https://projecteuclid.org/euclid.die/1356038627