Asymptotic stability of Landau solutions to Navier-Stokes system

Abstract

It is known that the three dimensional Navier-Stokes system for an incompressible fluid in the whole space has a one parameter family of explicit stationary solutions, which are axisymmetric and homogeneous of degree -1. We show that these solutions are asymptotically stable under any $L^2$-perturbation.

References in corpus (1)

• On scattering of solitons for the Klein-Gordon equation coupled to a particle

Cited by in corpus (2)

• Nonexistence of small, odd breathers for a class of nonlinear wave equations
• On the eigenfunction expansion for the Hamilton operators