On the convergence of viscous approximations after shock interactions

Alberto Bressan, Carlotta Donadello

Research output: Contribution to journalArticlepeer-review


We consider a piecewise smooth solution to a scalar conservation law, with possibly interacting shocks. We show that, after the interactions have taken place, vanishing viscosity approximations can still be represented by a regular expansion on smooth regions and by a singular perturbation expansion near the shocks, in terms of powers of the viscosity coefficient.

Original languageEnglish (US)
Pages (from-to)29-48
Number of pages20
JournalDiscrete and Continuous Dynamical Systems
Issue number1-2
StatePublished - Jan 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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