EXPLICIT CONSTRUCTION OF MEASURE SOLUTIONS OF CAUCHY-PROBLEM FOR TRANSPORTATION EQUATIONS

The transportation equations are a mathematical model of zero-pressure flow in gas dynamics and the adhesion particle dynamics system to exp lain the formation of large scale structures in the universe. With the help of convex hull of a potential function, the solution is explicit ly constructed here. II is straightforward to prove that the solution is a global measure one. And Dirac delta-shocks explained as the conce ntration of particles may develop in the solution.