Monatshefte für Mathematik ( IF 0.8 ) Pub Date : 2021-02-02 , DOI: 10.1007/s00605-021-01524-w Richard De la cruz , Marcelo Santos , Eduardo Abreu
In this work, the mechanism for the formation of the delta shock wave is analyzed to deal with interaction of delta shock waves and contact discontinuities for a system of Keyfitz–Kranzer type by means of analysis and solutions of Riemann problems. A set of numerical experiments are provided, illustrating the theoretical findings numerically. A brief survey of the Keyfitz–Kranzer systems as a base model of fundamental nonlinear phenomena in applications is provided aiming to shed light on the intricate wave structure for other related models of conservation laws appearing in applied sciences.
中文翻译:
非对称Keyfitz-Kranzer守恒律系统中的三角激波相互作用
在这项工作中,通过分析和解决黎曼问题,分析了三角激波的形成机理,以处理三角激波的相互作用和接触键不连续的Keyfitz-Kranzer型系统。提供了一组数值实验,以数字方式说明了理论发现。简要概述了Keyfitz-Kranzer系统作为应用中基本非线性现象的基础模型,旨在为应用科学中出现的其他相关守恒定律模型阐明复杂的波结构。