Wang, Ze Jun, Local Existence of the Shock Front Solution to the Axisymmetrical Piston Problem in Compressible Flow, Acta mathematica Sinica. English series (Print) , 20(4), 2004, pp. 589-604
In this paper, we study a kind of 2dimensional axisymmetrical piston problem in compressible flow. The corresponding mathematical model is the wellknown Euler system. With the Newton iteration procedure and energy estimate, we give the local existence of the shock front solution to this problem.