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arXiv · 1409.7536

The Navier-Stokes equations. Regularity of fast flows and Sobolev imbedding

Piotr B. Mucha
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Abstract

The paper proves existence of a large class of smooth solutions to the incompressible Navier-Stokes equations in the three dimensional space. The viscosity coefficient is put to be $1$. Our result points a new class of regular solutions with arbitrary large Cauchy integral $\int |\nabla v|^2 dx$.

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Piotr B. Mucha. 2014-09-26. The Navier-Stokes equations. Regularity of fast flows and Sobolev imbedding. https://arxiv.org/abs/1409.7536

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