Abstract

The paper deals with various generalized solutions to one-dimensional pressureless gas dynamics. Along with the entropy solutions other solutions are considered that include the combination of concentration and decay processes. This research is motivated by multidimensional case where the concentration mechanism seems to be not enough for the construction of rigorous theory. Thus the present paper describes in one-dimensional setting a possible behavior that could appear in multidimensional case.

中文翻译：

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一维无压气体的非常规和常规解决方案

摘要

该论文涉及一维无压气体动力学的各种广义解决方案。与熵解一起考虑其他解，包括浓缩和衰减过程的组合。这项研究的动机是多维案例，其中集中机制似乎不足以构建严格的理论。因此，本文在一维设置中描述了一种可能出现在多维情况下的行为。