中文摘要：

研究1维零压流体运动方程组，引进势函数并讨论它的最小值点．当初值（x，t）∈R×（0，∞）时，得出解的局部结构的以下结论．若势函数有唯一非退化最小值点，则（x，t）附近的解光滑；若势函数有2个以上非退化最小值点或唯一退化最小值点，则（x，t）附近的解间断．

英文摘要：

This paper is concerned with one-dimensional zero-pressure flow equations. By introducing a potential function and discussing its minimizing point, the following conclusions on the local structure of the solution are drawn for each point （x, t）∈RX （0, ∞）. When potential function has a uniqe non-degenerate minimizing point, solutions are smooth in the neighborhood of （x, t） ;When potential function has more than two non-degenerate minimizing points or a uniqe degenerate minimizing point, solutions are discontinuous in the neighborhood of （x ,t）.