等压流体动力学方程中δ激波的相互作用

IF 0.7 Q3 MATHEMATICS, APPLIED Differential Equations & Applications Pub Date : 2021-01-01 DOI:10.7153/DEA-2021-13-05

Yu Zhang, Yan Zhang

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引用次数: 2

摘要

．分析了恒压流体动力学方程中δ激波、真空状态和接触不连续之间的相互作用。通过逐例求解具有三个分段常态初始数据的Riemann问题，构造了具有四种不同构型解的全局结构。数值模拟结果与理论分析结果完全吻合。

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Interactions of delta shock waves for the equations of constant pressure fluid dynamics

. The interactions among delta shock waves, vacuum states and contact discontinuities for the equations of constant pressure ﬂ uid dynamics are analyzed. By solving the Riemann problem with initial data of three piecewise constant states case by case, the global structures of solutions with four different con ﬁ gurations are constructed. Furthermore, the numerical simula-tions completely coinciding with theoretical analysis are presented.

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Differential Equations & Applications MATHEMATICS, APPLIED-

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