Jouvet, GuillaumeRappaz, JacquesBueler, EdBlatter, Heinz2011-10-192011-10-192011-10-19201110.3189/002214311796405852https://infoscience.epfl.ch/handle/20.500.14299/71776WOS:000294083700016The existence of solutions of the non-sliding shallow-ice-sheet equation on a flat horizontal bed with a mass balance linearly depending on altitude is proven for fixed margins. Free-margin solutions for the same mass balance do not exist. Fixed-margin solutions show unbounded shear stress and nonzero mass flux at the margin. Steady-state solutions with realistic margins, vanishing ice flux and vanishing shear stress are found numerically for ice sheets with Weertman-type sliding.ApproximationVerificationDynamicstext::journal::journal article::research article