Corrections

In my article (L. I. Rubinshtein, “On the initial direction of the crystallization process when a plate is immersed in a melt”), published in DAN, vol. 168, no. 5, 1966, in equation (12) on p. 1036, instead of the factor \(1+\delta_1\) there should stand the factor \((1+\delta_1)/2\). This entails the incompatibility of conditions (14) and \(F>v\). Thus the conclusion about the possible compatibility of paths A and C, drawn at the end of the article, proves to be incorrect. On the contrary, the initial data of the problem determine the initial direction of the process uniquely, provided that the limiting value of \(u(1,t)\) as \(t\to 0\) is different from \(v\). If, however, it is equal to \(v\), then an additional investigation is necessary in order to decide the question.

In the article by B. V. Egorov, V. N. Zhmulev, and V. M. Kuznetsov, “On the equations of aerodynamics in the presence of binary molecular processes,” published in DAN, vol. 164, no. 6, 1965, the following corrections must be made: on p. 1252 formula (13) should read

\[ \lambda_k = nDc_v(T_i)\left[1-\frac{1}{\tau^2}\left(\frac{\alpha}{\nu}\right)^2\frac{kT}{m}\right]^{-1}, \]

in Fig. 2, the printed \(T_k'\) should read \(T_i\).

In my article (V. A. Shurygin, “On nontrivial constructive mappings of certain sets”), published in DAN, vol. 168, no. 1, 1966, in the formulation of Corollary 2 I made an inaccuracy: instead of the words “not being a maximal element” there should be “being a minimal element,”

V. A. Shurygin