Large Time Behavior for the Solution of the Non-Steady Dam Problem

Dietmar Kröner

A chapter in Variational Methods for Free Surface Interfaces, 1987, pp 179-190 from Springer

Abstract: Abstract In this paper we consider two water reservoirs which are separated by a dam D consisting of an isotropic, homogeneous, porous material. The levels of the reservoirs may be different and time dependent and they are supposed to tend to fixed levels if t tends to infinity. We start with nonstationary initial conditions and we are interested in the asymptotic behavior of the pressure distribution u(t, z) of the water in the dam if t tends to infinity.

Date: 1987
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DOI: 10.1007/978-1-4612-4656-5_21

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