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输运方程是气体动力学零压流的数学模型,同时也是用来描述宇宙中大尺度结构形成的粘合粒子动力学方程组.通过引入一个位势函数的凸包,清晰地构造了解,直接证明所构造的解是一个整体测度解;并且解中可能出现Delta-激波——质量的集中.
The transport equation is a mathematical model of zero-pressure flow of gas dynamics and is also used to describe the kinetic equations of the bonded particles formed by large-scale structures in the universe. By introducing a convex function of a potential function, It is proved that the constructed solution is a global measure solution, and Delta-shock-mass concentration may occur in solution.