Self-similar solutions of the Euler equations with spherical symmetry

Chen Chang Peng, Wen-Ching Lien

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)6370-6378
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
Volume75
Issue number17
DOIs
Publication statusPublished - 2012 Nov 1

Fingerprint

Nonlinear ODE
Euler System
Spherical Symmetry
Self-similar Solutions
Euler equations
Smooth Solution
Euler Equations
Shock Waves
Pistons
Wave Front
Global Existence
Shock
Boundary conditions
Shock waves
Nonlinear systems
Form

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Self-similar solutions of the Euler equations with spherical symmetry. / Peng, Chen Chang; Lien, Wen-Ching.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 75, No. 17, 01.11.2012, p. 6370-6378.

Research output: Contribution to journalArticle

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