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On a Degenerated Parabolic-Hyperbolic Problem Arising From Stratigraphy

In: Numerical Mathematics and Advanced Applications

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  • Guy Vallet

    (Lab. Applied Math.)

Abstract

In this communication, presented in the minisymposium on Degenerated Parabolic Equations, we are interested in the mathematical analysis of a stratigraphic model concerning geologic basin formation. Firstly, we present the physical model and the mathematical formulation, which lead to an original degenerated parabolic - hyperbolic conservation law. Then, the definition of a solution and some mathematical tools in order to resolve the problem are given. At last, we present numerical illustrations in the 1 — D case and we give some open problems.

Suggested Citation

  • Guy Vallet, 2006. "On a Degenerated Parabolic-Hyperbolic Problem Arising From Stratigraphy," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 412-420, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_36
    DOI: 10.1007/978-3-540-34288-5_36
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