Communications in Mathematical Sciences
Volume 7 (2009)
Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations
Pages: 67 – 80
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.
Spatial analyticity; bootstrap; Navier-Stokes equations
2010 Mathematics Subject Classification
35B65, 35Q30, 35Q35