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New unilateral problems in stratigraphy

Stanislav N. AntontsevGérard GagneuxRobert LuceGuy Vallet — 2006

ESAIM: Mathematical Modelling and Numerical Analysis

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 0 t u - d i v { H ( t u + E ) u } , 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, with a unilateral...

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