RESUMEN

This paper describes the phenomena of glacier surges and presents a mathematical model based on realistic descriptions of glacier physics, which purports to describe the main features of the flow. The analysis reveals and predicts a variety of phenomena, many of which have been observed to occur, and gives explicit estimates for such quantities as surge front extent, “mini-surge” propagation speed, and oscillation period.

RESUMEN

Singularly perturbed systems of ordinary differential equations are considered for which the reduced problem has an infinite family of solutions. Recent approaches to such problems are compared, and a more complete understanding of the limiting inner and outer problems is obtained. Such results will lead to efficient numerical algorithms for this class of problems and their generalizations. Some challenging illustrative examples are considered in detail.