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RESEARCH PRODUCT

LONG TIME BEHAVIOR OF A SHALLOW WATER MODEL FOR A BASIN WITH VARYING BOTTOM TOPOGRAPHY

Marco SammartinoVincenzo Sciacca

subject

HydrologyShallow water equations Global Attractor Fractal dimension dissipative systemWaves and shallow waterStructural basinSettore MAT/07 - Fisica MatematicaGeology

description

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.

yearjournalcountryeditionlanguage
2002-06-01Waves and Stability in Continuous Media
https://doi.org/10.1142/9789812777331_0063