Solvability of Naiver-Stokes equations in some rearrangement invariant spaces

E. Ostrovsky; L. Sirota

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arXiv · 1305.5321

Solvability of Naiver-Stokes equations in some rearrangement invariant spaces

E. Ostrovsky·L. Sirota

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Abstract

We prove that the multidimensional dimensional initial value problem for the Navier-Stokes equations is globally well-posed in the so-called Moment and Grand Lebesgue Spaces (GLS), and give some a priory estimations for solution in this spaces.

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E. Ostrovsky, L. Sirota. 2013-05-23. Solvability of Naiver-Stokes equations in some rearrangement invariant spaces. https://arxiv.org/abs/1305.5321

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