On a Lyapunov functional relating shortening curves and viscous conservation laws

Stefano Bianchini, Alberto Bressan

Research output: Contribution to journalArticle

14 Citations (Scopus)

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

Fingerprint

Viscous Conservation Laws
Borel Functions
Lyapunov Functional
Joining
Conservation
Curve
Line
Arbitrary
Fluxes
Family

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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On a Lyapunov functional relating shortening curves and viscous conservation laws. / Bianchini, Stefano; Bressan, Alberto.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 51, No. 4, 01.11.2002, p. 649-662.

Research output: Contribution to journalArticle

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