no. 4
New unilateral problems in stratigraphy
ESAIM: Modélisation mathématique et analyse numérique, Tome 40 (2006) no. 4, pp. 765-784.

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-div{H(∂ t u+E)∇u}, 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.

DOI : 10.1051/m2an:2006029
Classification : 35K65, 35L80, 35Q35
Mots clés : stratigraphic models, weather limited, degenerated parabolic-hyperbolic conservation laws 
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Antontsev, Stanislav N.; Gagneux, Gérard; Luce, Robert; Vallet, Guy. New unilateral problems in stratigraphy. ESAIM: Modélisation mathématique et analyse numérique, Tome 40 (2006) no. 4, pp. 765-784. doi : 10.1051/m2an:2006029. http://www.numdam.org/articles/10.1051/m2an:2006029/

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