The Generalized Riemann Problem for a Scalar Combustion Model-the Perturbation on Initial Binding Energy
Year: 2008
Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 4 : pp. 335–346
Abstract
In this paper, we study the generalized Riemann problem for a scalar Chapman-Jouguet combustion model in a neighborhood of the origin on upper half of the (x, t) plane. We focus our attention on the perturbation on initial binding energy. Under the entropy conditions, the solutions are obtained constructively. It shows that the perturbed Riemann solutions possess the structural stability except the case that the corresponding Riemann solutions contain CJDT, for which CJDT may transform into SDT after perturbation on initial binding energy in the neighborhood of the origin.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-JPDE-5286
Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 4 : pp. 335–346
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Scalar Chapman-Jouguet combustion model