A bound on the total variation of the conserved quantities for solutions of a general resonant nonlinear balance law

John Hong, Blake Temple

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

We introduce a new potential interaction functional and use it to define a new Glimm-type functional that bounds the total variation of the conserved quantities at time t > 0 by the total variation at time t = 0+ in Glimm approximate solutions of a general resonant nonlinear balance law.

Original languageEnglish
Pages (from-to)819-857
Number of pages39
JournalSIAM Journal on Applied Mathematics
Volume64
Issue number3
DOIs
StatePublished - 2004

Keywords

  • Balance laws
  • Glimm scheme
  • Resonance
  • Shock waves

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