Abstract
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.
Citation
Jishan Fan. Tohru Ozawa. "On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations." Differential Integral Equations 21 (5-6) 443 - 457, 2008. https://doi.org/10.57262/die/1356038627
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