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

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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Submitted on : Wednesday, May 30, 2018 - 10:45:48 PM
Last modification on : Friday, July 20, 2018 - 11:13:26 AM
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  • HAL Id : hal-01802544, version 2
  • ARXIV : 1806.03003

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Diego Chamorro, Oscar Jarrin, Pierre-Gilles Lemarié-Rieusset. Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces. 2018. ⟨hal-01802544v2⟩

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