Blowup for systems of conservation laws

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Abstract

We give examples of finite time blowup in sup-norm and total variation for 3 × 3-systems of strictly hyperbolic conservation laws. The exact solutions are explicitly constructed. In the case of sup-norm blowup we also provide an example where all other p-norms, 1 ≤ p < ∞, remain uniformly bounded. Finally we consider appropriate rescalings for the different types of blowup.

Original languageEnglish (US)
Pages (from-to)894-908
Number of pages15
JournalSIAM Journal on Mathematical Analysis
Volume31
Issue number4
DOIs
StatePublished - Jan 1 2000

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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