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Some Perturbation Problems on 2x2 Nonlinear Hyperbolic Conservation Laws |
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| Authors: | Hongxia Liu & Longwei Lin |
| 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. |
| Keywords: | 2 × 2 genuinely nonlinear strictly hyperbolic conservation laws perturbed problem elementary waves with interuction |
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