Construction of a center-unstable manifold for \(C^ 1\)-flows and an application to the Navier-Stokes equation (Q1084571)
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: Construction of a center-unstable manifold for \(C^ 1\)-flows and an application to the Navier-Stokes equation |
scientific article; zbMATH DE number 3979556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of a center-unstable manifold for \(C^ 1\)-flows and an application to the Navier-Stokes equation |
scientific article; zbMATH DE number 3979556 |
Statements
Construction of a center-unstable manifold for \(C^ 1\)-flows and an application to the Navier-Stokes equation (English)
0 references
1986
0 references
A center-unstable manifold for \(C^ 1\)-flows is constructed. More specifically the existence of a center-unstable manifold is shown when the map in study is not of class \(C^{1/\alpha}\), for any \(0\leq \alpha \leq 1\), but can be approximated in a suitable sense by finite-dimensional maps of class \(C^{1,\alpha}\), for some \(\alpha\). The authors also give an application of such construction to Navier-Stokes flows.
0 references
center-unstable manifold
0 references
Navier-Stokes flows
0 references
