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On a Degenerated Parabolic-Hyperbolic Problem Arising From Stratigraphy

Guy Vallet ()
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Guy Vallet: Lab. Applied Math.

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 412-420 from Springer

Abstract: 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.

Keywords: Implicit Time; Entropic Solution; Numerical Illustration; Degenerate Parabolic Equation; Global Classical Solution (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_36

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DOI: 10.1007/978-3-540-34288-5_36

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