准轴向假设下由稳定的二维亥姆霍兹方程导出的双曲系统的黎曼解与波的相互作用

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-09-27 DOI:10.1016/j.aml.2024.109320

Chun Shen

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引用次数: 0

摘要

通过使用德尔塔冲击波或接触-真空-接触复合波，建设性地实现了在准轴假设下由稳定的二维亥姆霍兹方程产生的双曲系统的两种精确黎曼解，这取决于左右初速度之间的排序关系。此外，通过考虑由两个跃迁间断点隔开的三块初始数据，仔细探讨了三角冲击波与接触-真空-接触复合波之间的相互作用。

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Riemann solutions and wave interactions for a hyperbolic system derived from the steady 2D Helmholtz equation under a paraxial assumption

Two kinds of exact Riemann solutions for a hyperbolic system arising from the steady 2D Helmholtz equation under a paraxial assumption are constructively achieved by using either delta shock wave or contact-vacuum-contact composite wave, which depends on the ordering relation between the left and right initial velocities. Moreover, the interaction between delta shock wave and contact-vacuum-contact composite wave is carefully explored by considering the initial data in three pieces separated by two jump discontinuities.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.