Green's function of the linearized de Saint-Venant equations

Luca Ridolfi, Amilcare Porporato, Roberto Revelli

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We derive and discuss the Green's function of the linearized de Saint-Venant equations (LSVEs) for shallow water waves in channels and rivers. The analysis offers a unified description of previous results on LSVEs regarding, in particular, the existence of three simple linear waves whose interplay determines all the evolution of the solution, the role of the Froude number (F) in all its range of variability (both in subcritical and supercritical conditions), and the physical reason of the instability for F>2 and its convective nature.

Original languageEnglish (US)
Pages (from-to)125-132
Number of pages8
JournalJournal of Engineering Mechanics
Issue number2
StatePublished - Feb 1 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering


  • Channel flow
  • Greens function
  • Mathematical models
  • Stability analysis
  • Wave equations
  • Waves


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