Quantitative lower bound for lifespan for solution of Navier-Stokes equations
Analysis of PDEs
2013-06-27 v1
Abstract
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.
Cite
@article{arxiv.1306.6211,
title = {Quantitative lower bound for lifespan for solution of Navier-Stokes equations},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1306.6211},
year = {2013}
}