Periodic solutions and their stability to the Navier-Stokes equations on a half space (Q6553156)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Periodic solutions and their stability to the Navier-Stokes equations on a half space |
scientific article; zbMATH DE number 7862936
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions and their stability to the Navier-Stokes equations on a half space |
scientific article; zbMATH DE number 7862936 |
Statements
Periodic solutions and their stability to the Navier-Stokes equations on a half space (English)
0 references
11 June 2024
0 references
The authors consider the Navier-Stokes flow in the half-space, subject to the zero Dirichlet boundary condition, and driven by a periodic or almost-periodic force in a divergence form. It is shown that if the force is small enough, a unique and polynomially stable mild solution of the same periodicity exists.\N\NThe proof relies upon well-known smoothing estimates for the corresponding Stokes semigroup, Lorentz-type interpolations and also a general scheme, developed by \textit{M. Geissert} et al. [Arch. Ration. Mech. Anal. 220, No. 3, 1095--1118 (2016; Zbl 1334.35231)].
0 references
almost time-periodicity
0 references
polynomially stable mild solution
0 references
existence: Stokes semigroup
0 references
Lorentz interpolation
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
