On a Lyapunov functional relating shortening curves and viscous conservation laws

Stefano Bianchini, Alberto Bressan

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

The Lyapunov functional relating shortening curves and viscous conservation laws was presented. The two points A, B were fixed in the plane R2 and the family FAB of all polygonal lines joining A with B. Results showed that there may not exist a Borel function λ for an arbitrary flux function.

Original languageEnglish (US)
Pages (from-to)649-662
Number of pages14
JournalNonlinear Analysis, Theory, Methods and Applications
Volume51
Issue number4
DOIs
StatePublished - Nov 1 2002

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'On a Lyapunov functional relating shortening curves and viscous conservation laws'. Together they form a unique fingerprint.

  • Cite this