Self-similar solutions of the Euler equations with spherical symmetry

Chen Chang Peng, Wen Ching Lien

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)6370-6378
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number17
Publication statusPublished - 2012 Nov

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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