Navier-Stokes equations in the whole space with an eddy viscosity

Roger Lewandowski

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arXiv · 1705.11043

Navier-Stokes equations in the whole space with an eddy viscosity

Roger Lewandowski

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Abstract

We study the Navier-Stokes equations with an extra eddy viscosity term in the whole space in three dimensions. We introduce a suitable regularized system for which we prove the existence of a regular solution defined for all time. We prove that when the regularizing parameter goes to zero, the solution of the regularized system converges to a turbulent solution of the initial system.

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Roger Lewandowski. 2017-05-31. Navier-Stokes equations in the whole space with an eddy viscosity. https://arxiv.org/abs/1705.11043

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