Acta Mathematica Sinica

, Volume 20, Issue 4, pp 589–604

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

ORIGINAL ARTICLES

DOI: 10.1007/s10114-004-0379-2

Cite this article as:
Wang, Z.J. Acta Math Sinica (2004) 20: 589. doi:10.1007/s10114-004-0379-2

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.

Keywords

Piston problem Euler system Shock front solution Newton iteration Energy estimate 

MR (2000) Subject Classification

35L67 76L05 35L60 

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Institute of MathematicsFudan UniversityShanghai 200433P. R. China