Ill-posedness of the shallow-ice approximation when modelling thermo-viscous instabilities

Journal of Glaciology

Volumn 57, Issue 206, 2011, Pages 1177-1178

  Hindmarsh, Richard C A ^a  

^a BRITISH ANTARCTIC SURVEY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84855613594     PISSN: 00221430     EISSN: None     Source Type: Journal    
DOI: 10.3189/002214311798843304     Document Type: Letter

References (10)

1. Calov, R. and 9 others. 2010. Results from the Ice-Sheet Model Intercomparison Project-Heinrich Event INtercOmparison (ISMIP HEINO). J. Glaciol., 56(197), 371-383.
2. Greve, R. and D. R. MacAyeal. 1996. Dynamic/thermodynamic simulations of Laurentide ice-sheet instability. Ann. Glaciol., 23, 328-335. (Pubitemid 27457906)
3. Hadamard, J. 1902. Sur les problèmes aux dérivées partielles et leur signification physique. Princeton Univ. Bull., 13, 49-52.
4. Hindmarsh, R. C. A. 2004. Thermoviscous stability of ice-sheet flows. J. Fluid Mech., 502(1), 17-40. (Pubitemid 38498330)
5. Hindmarsh, R. C. A. 2006a. Stress gradient damping of thermoviscous ice flow instabilities. J. Geophys. Res., 111 (B12), B12409. (10.1029/2005JB004019.) (Pubitemid 47248759)
6. Hindmarsh, R. C. A. 2006b. The role of membrane-like stresses in determining the stability and sensitivity of the Antarctic Ice Sheets: back pressure and grounding line motion. Philos. Trans. R. Soc. London, Ser. A, 364(1844), 1733-1767. (Pubitemid 44106648)
7. Hindmarsh, R. C. A. 2009. Consistent generation of ice-streams via thermo-viscous instabilities modulated by membrane stresses. Geophys. Res. Lett., 36(6), L06502. (10.1029/2008GL036877.)
8. Pattyn, F. 1996. Numerical modelling of a fast-flowing outlet glacier: experiments with different basal conditions. Ann. Glaciol., 23, 237-246.
9. Payne, A. J. 1995. Limit cycles in the basal thermal regime of ice sheets. J. Geophys. Res., 100 (B3), 4249-4263.
10. Payne, A. J. and 10 others. 2000. Results from the EISMINT model intercomparison: the effects of thermomechanical coupling. J. Glaciol., 46(153), 227-238.