| Issue |
ESAIM: M2AN
Volume 40, Number 4, July-August 2006
|
|
|---|---|---|
| Page(s) | 765 - 784 | |
| DOI | https://doi.org/10.1051/m2an:2006029 | |
| Published online | 15 November 2006 | |
New unilateral problems in stratigraphy
1
Departamento de Matemática, Universidade da Beira Interior Covilhã 6201-001, Portugal. anton@ubi.pt
2
Laboratoire de Mathématiques Appliquées
UMR-CNRS 5142 IPRA BP 1155, 64 013 Pau Cedex, France. gerard.gagneux@univ-pau.fr; robert.luce@univ-pau.fr; guy.vallet@univ-pau.fr
Received:
24
October
2005
Revised:
20
March
2006
This work deals with the study of some stratigraphic models for the formation of geological basins under a maximal erosion rate constrain. It leads to introduce differential
inclusions of degenerated hyperbolic-parabolic type 
, where H is the maximal monotonous graph of the Heaviside function and E is a given non-negative function. Firstly, we present the new and realistic models and an original mathematical formulation, taking into account the weather-limited rate constraint in the conservation law, with a unilateral constraint on the outflow boundary.
Then, we give a study of the 1-D case with numerical illustrations.
Mathematics Subject Classification: 35K65 / 35L80 / 35Q35
Key words: Stratigraphic models / weather limited / degenerated parabolic-hyperbolic conservation laws.
© EDP Sciences, SMAI, 2006
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