Local Existence of the Shock Front Solution to the Axisymmetrical Piston Problem in Compressible Flow

Authors
Wang, Ze Jun
Citation
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
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
20
Issue
4
Year of publication
2004
Pages
589 - 604
Database
ACNP
SICI code
Abstract
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.