Preprint 2004-068

A Non Standard Free-Boundary Problem Arising from Stratigraphy

G. Gagneux, R. Luce, and G. Vallet

Abstract: In this paper, we are interested in the mathematical analysis of a geological stratigraphic model, taking into account a limited weathering condition. Firstly, we present the physical model and the mathematical formulation, which lead to an original conservation law. Then, the definition of a solution and some mathematical tools in order to resolve the problem are given. At last, we treat the $1-D$ case and we present some open problems.

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G. Gagneux, <>
R. Luce, <>
G. Vallet, <>
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<> December 13 2004.

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