Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840315 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 9 Pages |
Abstract
We consider self-similar flows arising from the uniform expansion of a spherical piston and preceded by a shock wave front. With appropriate boundary conditions imposed on the piston surface and the spherical shock, the isentropic compressible Euler system is transformed into a nonlinear ODE system. We formulate the problem in a simple form in order to present the analytic proof of the global existence of positive smooth solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Chen-Chang Peng, Wen-Ching Lien,