New unilateral problems in stratigraphy
Departamento de Matemática, Universidade da Beira Interior Covilhã 6201-001, Portugal. firstname.lastname@example.org
2 Laboratoire de Mathématiques Appliquées UMR-CNRS 5142 IPRA BP 1155, 64 013 Pau Cedex, France. email@example.com; firstname.lastname@example.org; email@example.com
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