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

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

Abstract

. 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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等压流体动力学方程中δ激波的相互作用
. 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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