$L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3$

Abstract

We consider global-in-time small mild solutions of the initial value problem to the incompressible Navier-Stokes equations in $R^3$. For such solutions, an asymptotic stability is established under arbitrarily large initial $L^2$-perturbations.

26 pages

References in corpus (1)

• On blow-up "twistors" for the Navier--Stokes equations in $R^3$: a view from reaction-diffusion theory

Cited by in corpus (1)

• Time-dependent singularities in the Navier-Stokes system