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arXiv · 1706.10173

Some remarks on the regularity time of Leray solutions to the Navier-Stokes equations

Pablo Braz e Silva·Janaína P. Zingano·Paulo R. Zingano
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Abstract

In this small note we strengthen the classic result about the regularity time t* of arbitrary Leray solutions to the (incompressible) Navier-Stokes equations in Rn (n = 3, 4), which have the form: t* <= K_{3} nu^{-5} || u(.,0) ||_{L2}^{4} if n = 3, and t* <= K_{4} nu^{-3} || u(.,0) ||_{L2}^{2} if n = 4 (in particular, by reducing the current best known values for the constants K_{3}, K_{4}). Some related results of clear interest are also included (derived) in our discussion.

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Pablo Braz e Silva, Janaína P. Zingano, Paulo R. Zingano. 2017-06-30. Some remarks on the regularity time of Leray solutions to the Navier-Stokes equations. https://arxiv.org/abs/1706.10173

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