Evolution of the Thickness Distribution of Ice in the Sea of Japan

A. N. Chetyrbotskii

Far East Geological Institute, Far East Division, Russian Academy of Sciences,
pr. Stoletiya Vladivostoka 159, Vladivostok, 690022 Russia
e-mail: chetyrbotsky@fegi.ru

Received November 26, 2004; in final form, August 29, 2005

Abstract—Simple mathematical models of the thermodynamics of the ice-cover thickness and the thermody-
namics of the area of an individual ice floe are proposed. The equations of the models allow for an explicit con-
sideration of the spatial boundedness of the seawater region containing ice covers. A kinetic model of the evo-
lution of the distributions of ice area and ice thickness is formulated on the basis of the gas-dynamic theory.
Integration of the equations of this model over the surface areas of individual floes gives the thickness distribu-
tion of ice areas. Several special cases are studied analytically. The adequacy of the models is assessed. The
results of simulations are presented.

DOI: 10.1134/S0001433806050100

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