Abstract
By using a new bilinear estimate, a pointwise estimate of the generalized Oseen kernel, and an idea of a fractional bootstrap, we establish optimal local smoothing and decay estimates of solutions to the Navier-Stokes equations with fractional dissipation. We also show that solutions are analytic in space variables.
Citation
Hongjie Dong. Dong Li. "Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations." Commun. Math. Sci. 7 (1) 67 - 80, March 2009.
Information