Abstract
The interaction between large masses of snow and ice with the earth’s climate is of fundamental importance. The strong coupling between the cryosphere, which includes the ice and snow fields, sea ice and permafrost, with the other components of the climatic system cannot be underestimated. Its influence on the global climate acts at long time scales and is a dominant factor in the variation of the planetary albedo (see, for instance, [PO]).
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References
Diaz, J.I., Fowler, A.C. and Schiavi, E. — Mathematical Analysis of a Shallow Ice-Sheet Flow Model (to appear).
Fowler, A.C. — Modelling ice-sheet dynamics, Geophys. Astrophys. Fluid Dynamics, 63 (1992), 29–65.
Fowler, A.C. — Glacier and Ice Sheets, in this volume.
Garroni, M.G. and Lamberti, L. — A variational problem for population dynamics with a unilateral constraint, Boll. U.M.I., 16B (1979), 876–896.
Garroni, M.G. and Langlais, M. — Age dependent population diffusion with external contraint, J. Math. Biol., 14 (1982), 77–94.
van Harten, A. and van Hassel, R.R. — On a singularly perturbed time-dependent free boundary problem, J. Math. Anal, and Appl., 137 (1989), 70–98.
Hindmarsh, R.C.A. — Time-scales and degrees of freedom operating in the evolution of continental icesheets, Transl. Royal Soc. Edinburgh: Earth Sci., 81 (1990), 371–384.
Hutter, K. — Theoretical Glaciology, D. Reidel, Dordrecht, 1983.
Huybrechts, P. — The Antartic ice-sheet and environmental change: a three-dimensional modelling study, Ber. Polarforsch #99, Bremerhaven, 1992.
Kubo, M. — Subdifferential operator approach to nonlinear age-dependent population dynamics, Japan J. Appl. Math., 5 (1988), 225–256.
Ladyzenskaya, O.A., Solonnikov, V.A. and Ural’ceva, N.N. — Linear and quasilinear equations of parabolic type, Amer. Math. Soc. Transi. Monog., 23, Providence, 1968.
Lions, J.L. — Sur le Contrôle Optimale de Systèmes Governés par des Equations aux Dérivées Partielles, Dunod, Paris, 1968.
Lions, J.L. — Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Paris, 1969.
Lions, J.L. — Sur Quelques Questions d’Analyse, de Méchanique et de Contrôle Optimal, Presses Univ. Montréal, 1976.
Morland, L.W. — The flow of ice sheets and ice shelves, IUTAM Internat. Summer School on Continuum Mech. in Environmental Sci. and GeoPhys., Udine, June 1992.
Peixoto, J.P. and Oort, A.H. — Physics of Climate, American Inst. of Physics, N.Y., 1992.
Rodrigues, J.F. — An evolutionary continuous casting problem of Stefan type, Quart. Appl. Math., XLIV(1) (1986) 109–131.
Rodrigues, J.F. — Obstacle Problems in Mathematical Physics, North Holland, Amsterdam, 1987.
Rodrigues, J.F. — Variational methods in the Stefan problem, Lecture Notes in Mathematics, #1584, Springer, Berlin, 1994, 147–212.
Rodrigues, J.F. and Santos, L. — Asymptotic convergences in a one-phase continuous casting Stefan problem with high extraction velocity, IMA Journal of Appl. Math., 42 (1989),251–267.
Verbitsky, M.Y. — Equilibrium ice-sheet scaling in climate modeling, Climate Dynamics, 7(1992), 105–110.
Wehansen, J.V. and Laitone, E.V. — Surface Waves, “Handbuch der Physik” (S. Flügge,ed.), Vol. IX (Fluid Dynamics III), 1960, 446–758.
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Rodrigues, J.F., Santos, L. (1997). Some free boundary problems in theorical glaciology. In: Díaz, J.I. (eds) The Mathematics of Models for Climatology and Environment. NATO ASI Series, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60603-8_10
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