We prove asymptotic stability of steady-state solutions to the Navier-Stokes equations in the whole space. One of the novelties of this work consists in considering perturbations that show a distinct pointwise behavior (in space and time) and correspond to initial data only belonging to suitable weighted Lebesgue spaces.

On the Stability of Steady-State Solutions to the Navier-Stokes Equations in the Whole Space

Maremonti, P
2023

Abstract

We prove asymptotic stability of steady-state solutions to the Navier-Stokes equations in the whole space. One of the novelties of this work consists in considering perturbations that show a distinct pointwise behavior (in space and time) and correspond to initial data only belonging to suitable weighted Lebesgue spaces.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/489835
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