On the formation of scalar viscous shocks

Alberto Bressan, Carlotta Donadello

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Consider a viscous scalar conservation law with smooth, possibly non-convex flux. Assume that the (arbitrarily large) initial data remains in a small neighbourhood of given states u, u+ as x → ± ∞, with u, u+ connected by a stable shock profile. We then show that the solution eventually forms a viscous shock. The time needed for the shock to appear is the main focus of the present analysis.

Original languageEnglish (US)
Pages (from-to)1-11
Number of pages11
JournalInternational Journal of Dynamical Systems and Differential Equations
Issue number1
StatePublished - 2007

All Science Journal Classification (ASJC) codes

  • General Engineering
  • Discrete Mathematics and Combinatorics
  • Control and Optimization


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