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arXiv · 1806.03003

Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces

Diego Chamorro·Oscar Jarrin·Pierre-Gilles Lemarié-Rieusset
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Abstract

Uniqueness of Leray solutions of the 3D Navier-Stokes equations is a challenging open problem. In this article we will study this problem for the 3D stationary Navier-Stokes equations and under some additional hypotheses, stated in terms of Lebesgue and Morrey spaces, we will show that the trivial solution U = 0 is the unique solution. This type of results are known as Liouville theorems.

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Diego Chamorro, Oscar Jarrin, Pierre-Gilles Lemarié-Rieusset. 2018-06-08. Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces. https://arxiv.org/abs/1806.03003

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