HR: 0800h
AN: H21E-1076    [Abstracts]
TI: Approximate Solutions to Certain Nonlinear Diffusion Equations Appearing in Groundwater Flows.
AU: * Telyakovskiy, A S
EM: alekseyt@unr.edu
AF: University of Nevada, Reno, Department of Mathematics and Statistics, Reno, NV 89557 United States
AB: We consider the Boussinesq equation and its generalization the porous medium equation. The Boussinesq equation describes unconfined groundwater flow, while the porous medium equation describes the filtration of moisture in case of the power-law diffusivity. For certain types of initial and boundary conditions there are approximate solutions techniques. We analyze one-dimensional semi-infinite initially dry aquifer with boundary conditions at the inlet. Solutions would propagate with the finite speed in this case, and the constructed approximate solutions would preserve certain scaling properties of the original problems.
DE: 1829 Groundwater hydrology
DE: 1832 Groundwater transport
DE: 1875 Unsaturated zone
SC: Hydrology [H]
MN: 2004 AGU Fall Meeting