Quantitative lower bound for lifespan for solution of Navier-Stokes equations

E. Ostrovsky; L. Sirota

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arXiv · 1306.6211

Quantitative lower bound for lifespan for solution of Navier-Stokes equations

E. Ostrovsky·L. Sirota

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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.

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E. Ostrovsky, L. Sirota. 2013-06-26. Quantitative lower bound for lifespan for solution of Navier-Stokes equations. https://arxiv.org/abs/1306.6211

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