Well-posedness and decay of the viscous surface wave (Q2878993)
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: Well-posedness and decay of the viscous surface wave |
scientific article; zbMATH DE number 6340705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Well-posedness and decay of the viscous surface wave |
scientific article; zbMATH DE number 6340705 |
Statements
5 September 2014
0 references
free surface
0 references
geometric structure
0 references
interpolation
0 references
Well-posedness and decay of the viscous surface wave (English)
0 references
An incompressible viscous flow without surface tension in a finite-depth domain of three dimensions, with a free top boundary and a fixed bottom boundary are considered. The system is governed by the Navier-Stokes equations in this moving domain. The author give a proof of global well-posedness in the small data case with horizontally infinite cross section. Other than the geometric energy estimates, the time-dependent Galerkin method, and the interpolation estimates with Riesz potential and minimal counts.
0 references
