A note on 2D Navier-Stokes system in a bounded domain

Abstract

This paper poses a new question and proves a related result. Particularly, the nonexistence of a nontrivial time-periodic solution to the Navier–Stokes system is proved in a bounded domain in $ \mathbb{R}^2 $.

Keywords

• time-periodic
• 2d navier–stokes flow
• open problem
• stationary solution
• vector poincaré inequality