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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 6, Pages 85–94 (Mi pmtf2562)  
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
Full-text PDF (261 kB) Citations (4)
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
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 6, Pages 821–828
DOI: https://doi.org/10.1023/A:1026287705015
Bibliographic databases:
Document Type: Article
UDC: 551.311.23+517.946
Language: Russian
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
Citation in format AMSBIB
\Bibitem{AntGagVal03}
\by S.~N.~Antontsev, G.~Gagneux, G.~Vallet
\paper Some stratigraphic control problems
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 6
\pages 85--94
\mathnet{http://mi.mathnet.ru/pmtf2562}
\elib{https://elibrary.ru/item.asp?id=17274854}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 6
\pages 821--828
\crossref{https://doi.org/10.1023/A:1026287705015}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2562
  • https://www.mathnet.ru/eng/pmtf/v44/i6/p85
    • This publication is cited in the following 4 articles:
    1. Gérard Gagneux, Olivier Millet, “A geological delayed response model for stratigraphic reconstructions”, DCDS-S, 9:2 (2016), 457  crossref
    2. Robert Eymard, Thierry Gallouët, “A Partial Differential Inequality in Geological Models”, Chin. Ann. Math. Ser. B, 28:6 (2007), 709  crossref
    3. Stanislav N. Antontsev, Gérard Gagneux, Robert Luce, Guy Vallet, “New unilateral problems in stratigraphy”, ESAIM: M2AN, 40:4 (2006), 765  crossref
    4. Robert Eymard, Thierry Gallouët, “Analytical and Numerical Study of a Model of Erosion and Sedimentation”, SIAM J. Numer. Anal., 43:6 (2006), 2344  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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