New unilateral problems in stratigraphy
Antontsev, Stanislav N. ; Gagneux, Gérard ; Luce, Robert ; Vallet, Guy
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 40 (2006), p. 765-784 / Harvested from Numdam
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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 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.

Publié le : 2006-01-01
DOI : https://doi.org/10.1051/m2an:2006029
Classification:  35K65,  35L80,  35Q35 
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     author = {Antontsev, Stanislav N. and Gagneux, G\'erard and Luce, Robert and Vallet, Guy},
     title = {New unilateral problems in stratigraphy},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {40},
     year = {2006},
     pages = {765-784},
     doi = {10.1051/m2an:2006029},
     mrnumber = {2274777},
     zbl = {1133.35388},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2006__40_4_765_0}
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Antontsev, Stanislav N.; Gagneux, Gérard; Luce, Robert; Vallet, Guy. New unilateral problems in stratigraphy. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 40 (2006) pp. 765-784. doi : 10.1051/m2an:2006029. http://gdmltest.u-ga.fr/item/M2AN_2006__40_4_765_0/

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