用分离的Delta函数法研究非对称Keyfitz-Kranzer系统中Delta激波的交互性

Abstract

Abstract: In this paper, we study the interactions of delta shock waves with contact discontinuities for the nonsymmetric Keyfitz-Kranzer system with split delta functions. The solutions are obtained constructively when the initial data are three piecewise constant states. The global structure and large time-asymptotic behaviors of the solutions are analyzed case by case. Moreover, it can be found that the Riemann solutions are stable for such small perturbations with initial data by studying the limits of the solutions when the perturbed parameter ε→0.

Key words: Nonsymmetric Keyfitz-Kranzer system, Riemann problem, Delta shock wave, Wave interaction

CLC Number:

O175.29

Li Huahui, Shao Zhiqiang. Interactions of Delta Shock Waves for the Nonsymmetric Keyfitz-Kranzer System with Split Delta Functions[J].Acta mathematica scientia,Series A, 2017, 37(4): 714-729.

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Interactions of Delta Shock Waves for the Nonsymmetric Keyfitz-Kranzer System with Split Delta Functions

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