We find a simple quantitative lower bound for lifespan of solution of the multidimensional initial value problem for the Navier-Stokes equations in whole space when the initial function belongs to the correspondent Lebesgue-Riesz space, and give some a priory estimations for solution in some rearrangement invariant spaces.
The role of the Besov space $\mathbf{B}_{\infty}^{-1,\infty}$% in the control of the eventual explosion in finite time of the regular solutions of the Navier-Stokes equations
Remarks on a quasi-linear model of the Navier-Stokes Equations
Insensitizing controls for the Navier-Stokes equations
![QR code for arXiv:1306.6211 [math.AP]](http://oss.arxitics.com/images/favicon.svg)