CAJ | 학술논문

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．
연구1유령압류체운동방정조，인진세함수병토론타적최소치점．당초치（x，t）∈R×（0，∞）시，득출해적국부결구적이하결론．약세함수유유일비퇴화최소치점，칙（x，t）부근적해광활；약세함수유2개이상비퇴화최소치점혹유일퇴화최소치점，칙（x，t）부근적해간단．
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).