THE TWO-DIMENSIONAL PROBLEM WITH FREE BOUNDARY IN PROBLEMS OF MEDICINE
The proposed work is devoted to the study of a two-dimensional problem with free boundaries, which arises in the mathematical modeling of medical problems. A new formulation of the two-dimensional problem with free boundaries is considered, a simpler two-dimensional stationary Stefan problem is obtained, and the asymptotic integration of the problem is carried out. The equations of zero and first approximation are obtained after asymptotic expansion.