Non-Conventional and Conventional Solutions for One-Dimensional Pressureless Gas

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.