Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations
Dong, Hongjie ; Li, Dong
Commun. Math. Sci., Volume 7 (2009) no. 1, p. 67-80 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Published online : 2009-03-15
Classification:  Spatial analyticity,  bootstrap,  Navier-Stokes equations,  35Q30,  35Q35,  35B65 
@article{1238158605,
     author = {Dong, Hongjie and Li, Dong},
     title = {Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 67-80},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1238158605}
}

Dong, Hongjie; Li, Dong. Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations. Commun. Math. Sci., Volume 7 (2009) no. 1, pp.  67-80. http://gdmltest.u-ga.fr/item/1238158605/