Existence of Avalanching Flows

  • Reinhard Farwig
Chapter
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 11)

Abstract

Avalanches, landslides and debris flows are devastatingly powerful natural phenomena that are far too little understood. These granular matters are mixtures of solid particles and of an interstitial fluid and are easily modelled on the microscopic level by the laws of mechanics. On mesoscopic and macroscopic levels the different scales of the influence of the particles, the fluid and their interaction lead to various models of avalanching flows. In this survey we consider several models of granular materials characterised by height only or by height and momentum, discuss the existence of similarity solutions, existence of arbitrary solutions and particle segregation. The main part concerns the Savage-Hutter equations for dense flow avalanches.

Keywords

Debris Flow Granular Material Similarity Solution Entropy Solution Young Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Reinhard Farwig
    • 1
  1. 1.Department of MathematicsDarmstadt University of TechnologyDarmstadtGermany

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