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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 6, Pages 85–94
(Mi pmtf2562)
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This article is cited in 4 scientific papers (total in 4 papers)
Some stratigraphic control problems
S. N. Antontseva, G. Gagneuxb, G. Valletb a Universidade da Beira Interior, 6201-001, Covilha, Portugal
b Universite de Pau et des Pays de l'Adour, 64000, Pau, France
Abstract:
In this paper, we are interested in lithology diffusion models applied in the field of stratigraphic basin simulations for large-scale depositional transport processes of sediments. Such models describe erosion-sedimentation processes and take into account limited weathering via nonstandard unilateral problems. Various theoretical results, illustrations, and numerical solutions are presented for the monolithologic column case. A new conservation law involved in modeling is formulated, and mathematical tools for solving the problem are described.
Keywords:
stratigraphic models, limited weathering, ill-posed problems, inverse problems, degenerated parabolic–hyperbolic conservation laws.
Received: 28.03.2003 Accepted: 01.07.2003
Citation:
S. N. Antontsev, G. Gagneux, G. Vallet, “Some stratigraphic control problems”, Prikl. Mekh. Tekh. Fiz., 44:6 (2003), 85–94; J. Appl. Mech. Tech. Phys., 44:6 (2003), 821–828
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https://www.mathnet.ru/eng/pmtf2562 https://www.mathnet.ru/eng/pmtf/v44/i6/p85
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