Ancient Solutions to Navier-Stokes Equations in Half Space

Abstract

The goal of the paper is to understand properties of the so-called ancient (backward) solutions to the Navier-Stokes equations. We focus on the case of the half space.

37 pages

References in corpus (2)

• A certain necessary condition of potential blow up for Navier-Stokes equations
• Liouville theorems in unbounded domains for the time-dependent Stokes system

Cited by in corpus (3)

• On local Type I singularities of the Navier-Stokes equations and Liouville theorems
• Scale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditions
• Liouville theorems for the Stokes equations with applications to large time estimates