Some Perturbation Problems on 2x2 Nonlinear Hyperbolic Conservation Laws

Some Perturbation Problems on 2x2 Nonlinear Hyperbolic Conservation Laws

Year:    1998

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 3 : pp. 245–259

Abstract

We study in this paper the perturbation of elementary waves with interactions: overtaking of shock waves belonging to the same characteristic family and penetrating of a shock wave and a rarefaction wave belonging to the different characteristic family for 2 × 2 genuinely nonlinear strictly hyperbolic conservation laws. The entropy solutions for the perturbed problems are obtained by the Glimm's scheme.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JPDE-5568

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 3 : pp. 245–259

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    2 × 2 genuinely nonlinear strictly hyperbolic conservation laws