LONG TIME BEHAVIOR OF A SHALLOW WATER MODEL FOR A BASIN WITH VARYING BOTTOM TOPOGRAPHY
- Authors: Sammartino, M.; Sciacca, V.
- Publication year: 2002
- Type: eedings
- OA Link: http://hdl.handle.net/10447/107226
Abstract
We study the long time behavior of a shallow water model introduced by Levermore and Sammartino to describe the motion of a viscous incompressible fluid confined in a basin with topography. Here we prove the existence of a global attractor and give an estimate on its Hausdorff and fractal dimension.