Shock wave interactions in spherical and perturbed spherical geometries

S. Dutta, E. George, J. Glimm, J. W. Grove, H. Jin, T. Lee, X. Li, D. H. Sharp, K. Ye, Y. Yu, Y. Zhang, M. Zhao

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The interaction of shock waves with spherical and perturbed spherical layers provides an interesting and important class of problems. We present recent results for these and related planar geometry problems. We address the following issues:The accuracy of different numerical solution methods.The magnitude of numerical solution errors and their causes.The development of the instabilities.Reduced descriptions for chaotic flows.

Original languageEnglish (US)
Pages (from-to)644-652
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number5-7
StatePublished - Nov 30 2005
Externally publishedYes


  • Error analysis
  • Instability
  • Mixing
  • Shock wave
  • Spherical geometry

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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