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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Weertman J (1961) Stability of ice-age ice sheets. J Geophys Res 66:3783–3792
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
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
Bodvardsson G (1955) On the flow of ice-sheets and glaciers. Jökull 5:1–8
Weertman J (1976) Milankovitch solar radiation variations and ice age ice sheet sizes. Nature 261:17–20
Gilmore R (1981) Catastrophe theory for scientists and engineers. Wiley, New York
Vialov SS (1958) Regularities of glacial shields movement and the theory of plastic viscous flow. Int Ass Hydrol Sci Publ. 47:266–275
Oerlemans J, van der Veen CJ (1984) Ice sheets and climate. Reidel, Dordrecht
van der Veen CJ (1999) Fundamentals of glacier dynamics. Balkema, Rotterdam
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this chapter
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
DOI: https://doi.org/10.1007/978-3-030-42584-5_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-42582-1
Online ISBN: 978-3-030-42584-5
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)