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 in the whole space R3. 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.

Año de publicación:

2021

Keywords:

• Stationary system
• Liouville theorem
• Navier–Stokes equations
• Morrey spaces

Fuente:

google

scopus