Mathematical Model for Dynamics of Pack Ice in the Arctic Ocean and Its Surrounding Seas

摘要

By two-phase flow theory, a new mathematical model of the ice dynamics in the Arctic Ocean is formulated. The theory is developed from both microscopic and macroscopic approaches. The effective two-dimensional fundamental equations of ice circulation in the Arctic Ocean are derived and compared with other models used in literature. Our model is the most general one in literature and it gives many new insights of various important terms in the compactness equation and in the equations of motion of ice dynamics. Further development and application of this model to specific cases in the Polar Ocean are recommended. (Author)