Lack of BV bounds for approximate solutions to the p-system with large data

Alberto Bressan, Geng Chen, Qingtian Zhang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We consider front tracking approximate solutions to the p-system of isentropic gas dynamics. At interaction times, the outgoing wave fronts have the same strength as in the exact solution of the Riemann problem, but some error is allowed in their speed. For large BV initial data, we construct examples showing that the total variation of these approximate solutions can become arbitrarily large, or even blow up in finite time. This happens even if the density of the gas remains uniformly positive.

Original languageEnglish (US)
Pages (from-to)3067-3085
Number of pages19
JournalJournal of Differential Equations
Volume256
Issue number8
DOIs
StatePublished - Apr 15 2014

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Lack of BV bounds for approximate solutions to the p-system with large data'. Together they form a unique fingerprint.

Cite this