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

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Variational Methods for Free Surface Interfaces
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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.

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© 1987 Springer-Verlag New York Inc.

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Kröner, D. (1987). Large Time Behavior for the Solution of the Non-Steady Dam Problem. In: Concus, P., Finn, R. (eds) Variational Methods for Free Surface Interfaces. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4656-5_21

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  • DOI: https://doi.org/10.1007/978-1-4612-4656-5_21

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9101-5

  • Online ISBN: 978-1-4612-4656-5

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