Affiliation:
1. Department of Mathematics, University of Beira Interior, Covilhã 6201-001, Portugal
2. LMA UMR — CNRS 5142, IPRA BP1155, 64013 Pau cedex, France
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 locally hyperbolic conservation law. Then, after some heuristic simplifications, the definition of a solution and some mathematical tools in order to resolve the problem are given. Within the framework of sedimentation processes, we illustrate in the 1-D case the changing type of the equation: hyperbolic with finite speed propagation and parabolic with diffusive comportment or stationary. At the end, we present some open problems related to free boundary phenomena.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Analysis
Reference15 articles.
1. Integral Inequalities and Applications
2. A. Beurling, Seminars on Analytic Functions I (Institute for Advanced Studies, Princeton, 1958) pp. 248–263.
3. Infiltration in porous media with dynamic capillary pressure: travelling waves
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