New unilateral problems in stratigraphy
Stanislav N. Antontsev, Gérard Gagneux, Robert Luce, Guy Vallet (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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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 is the maximal monotonous graph of the Heaviside function and is a given non-negative function. Firstly, we present the new and realistic models and an original mathematical formulation, taking into account the rate constraint in the conservation law,...