On the existence of characteristic shapes for desert dunes

  • F. J. Bloore


The existence of an angle of reposeα for sand implies that, in any given wind regime, there is at least one configuration of sand dunes which will not be altered by that wind regime. The existence ofα implies that the land forms constitute a convex compact subset of a Banach space, and the result then follows from Shauder's theorem.

Key words

Desert dune shape fixed point theorem Schauder's theorem 


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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • F. J. Bloore
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsThe UniversityLiverpoolEngland

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