, Volume 20, Issue 4, pp 589-604

Local Existence of the Shock Front Solution to the Axi–symmetrical Piston Problem in Compressible Flow

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Abstract

In this paper, we study a kind of 2–dimensional axi–symmetrical piston problem in compressible flow. The corresponding mathematical model is the well–known Euler system. With the Newton iteration procedure and energy estimate, we give the local existence of the shock front solution to this problem.

Supported partially by NSFC Project 10131050 and NSFC Project 10271108