The Shape of a Glacier

R. J. Knops; Piero Villaggio

Bollettino dell'Unione Matematica Italiana (2013)

  • Volume: 6, Issue: 2, page 299-317
  • ISSN: 0392-4041

Abstract

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During the last hundred years, several theories have been proposed aimed at describing the shape adopted by glaciers and their rate of downhill flow. Geophysicists, however, still cannot agree on the precise explanation of the phenomenon, and the dominant cause controlling the sliding of glaciers. This might be due to pressure arising during melting, or alternatively it might be due to stress concentration. We here derive a simple mathematical model that combines both effects.

How to cite

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Knops, R. J., and Villaggio, Piero. "The Shape of a Glacier." Bollettino dell'Unione Matematica Italiana 6.2 (2013): 299-317. <http://eudml.org/doc/294025>.

@article{Knops2013,
abstract = {During the last hundred years, several theories have been proposed aimed at describing the shape adopted by glaciers and their rate of downhill flow. Geophysicists, however, still cannot agree on the precise explanation of the phenomenon, and the dominant cause controlling the sliding of glaciers. This might be due to pressure arising during melting, or alternatively it might be due to stress concentration. We here derive a simple mathematical model that combines both effects.},
author = {Knops, R. J., Villaggio, Piero},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {299-317},
publisher = {Unione Matematica Italiana},
title = {The Shape of a Glacier},
url = {http://eudml.org/doc/294025},
volume = {6},
year = {2013},
}

TY - JOUR
AU - Knops, R. J.
AU - Villaggio, Piero
TI - The Shape of a Glacier
JO - Bollettino dell'Unione Matematica Italiana
DA - 2013/6//
PB - Unione Matematica Italiana
VL - 6
IS - 2
SP - 299
EP - 317
AB - During the last hundred years, several theories have been proposed aimed at describing the shape adopted by glaciers and their rate of downhill flow. Geophysicists, however, still cannot agree on the precise explanation of the phenomenon, and the dominant cause controlling the sliding of glaciers. This might be due to pressure arising during melting, or alternatively it might be due to stress concentration. We here derive a simple mathematical model that combines both effects.
LA - eng
UR - http://eudml.org/doc/294025
ER -

References

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  2. FIFFE, A. - PETER, J., The Handbook of Climbing. London: Pelham (1997). 
  3. FINSTERWALDER, S., Die Theorie der Gletscherschwankungen. Zeitschrift für Gletscherkunde, 1 (2) (1907), 81-103. 
  4. HUTTER, K., Theoretical Glaciology. Berlin: Springer (1983). MR731259DOI10.1007/978-94-015-1167-4
  5. ISSERMANN, M. - WEAVER, S., Fallen Giants. New Haven. London: Yale University Press (2008). 
  6. NADAI, A., Theory of Flow and Fracture of Solids. Vol. II. New YorkTorontoLondon: McGraw-Hill (1963). 
  7. NYE, J. F., The flow of glaciers and ice-sheets as a problem in plasticity. Proc. Roy. Soc. Lond. (1951), A207 (1091), 554-572. Zbl0043.39404
  8. SCHEIDIGGER, A. E., Theoretical Geomorphology. Berlin Heidelberg New York: Springer (1991). 
  9. STURM, G., - ZINTL, F., Sicheres Klettern in Fels und Eis. München: BLV (1969). 
  10. VERMA, G. R. - KELLER, J. B., Hanging rope of minimum elongation. SIAM Rev.26 (1984), 569-571. Zbl0548.73081MR765673DOI10.1137/1026106
  11. WEERTMAN, J., On the sliding of glaciers. J. Glaciology, 3 (21) (1957), 33-38. 

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