New unilateral problems in stratigraphy
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, with a unilateral...