Skip to main content

Analytical Models of Ice Sheets and Ice Shelves

  • Chapter
  • First Online:
Glaciers and Ice Sheets in the Climate System

Abstract

Simple mathematical models for ice sheets and ice shelves are described which provide important insights into their dynamics. The models studied can be solved analytically to give equilibrium surface profiles and velocity distributions. Consideration is given to the feedback between surface elevation and mass balance.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Weertman J (1961) Stability of ice-age ice sheets. J Geophys Res 66:3783–3792

    Article  Google Scholar 

  2. Li H, Ng F, Li Z, Qin D, Cheng G (2012) An extended ‘perfect-plasticity’ method for estimating ice thickness along the flow line of mountain glaciers. J Geophys Res Earth Surf. 117:F01020

    Google Scholar 

  3. Ng F, Barr ID, Clark CD (2010) Using the surface profiles of modern ice masses to inform palaeo-glacier reconstruction. Quat Sci Rev 29(23–24):3240–3255

    Article  Google Scholar 

  4. Bodvardsson G (1955) On the flow of ice-sheets and glaciers. Jökull 5:1–8

    Google Scholar 

  5. Weertman J (1976) Milankovitch solar radiation variations and ice age ice sheet sizes. Nature 261:17–20

    Article  Google Scholar 

  6. Gilmore R (1981) Catastrophe theory for scientists and engineers. Wiley, New York

    Google Scholar 

  7. Vialov SS (1958) Regularities of glacial shields movement and the theory of plastic viscous flow. Int Ass Hydrol Sci Publ. 47:266–275

    Google Scholar 

  8. Oerlemans J, van der Veen CJ (1984) Ice sheets and climate. Reidel, Dordrecht

    Book  Google Scholar 

  9. van der Veen CJ (1999) Fundamentals of glacier dynamics. Balkema, Rotterdam

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hans Oerlemans .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Oerlemans, H. (2021). Analytical Models of Ice Sheets and Ice Shelves. In: Fowler, A., Ng, F. (eds) Glaciers and Ice Sheets in the Climate System. Springer Textbooks in Earth Sciences, Geography and Environment. Springer, Cham. https://doi.org/10.1007/978-3-030-42584-5_10

Download citation

Publish with us

Policies and ethics