\(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\) (Q1314975)
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: \(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\) |
scientific article; zbMATH DE number 509105
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\) |
scientific article; zbMATH DE number 509105 |
Statements
\(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\) (English)
0 references
14 March 1994
0 references
It is shown that the Navier-Stokes equations in the whole space \(\mathbb{R}^ n\) \((n=3)\) admit a unique small stationary solution which may be formed as a limit of a nonstationary solution as \(t\to\infty\) in \(L^ n\)-norm.
0 references
Finn's solution
0 references
weak solution
0 references
small solution
0 references
strong solution
0 references
asymptotic behavior
0 references
resolvent estimates for perturbed operator
0 references
decay estimates for analytic semigroups
0 references
Navier-Stokes equations
0 references
