2017
Том 69
№ 9

All Issues

Investigation of one convective Stefan problem by the Ritz method

Minenko A. S.

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Abstract

A plane stationary convective Stefan problem is analyzed in the case where the convection is caused by the presence of a prescribed rotation of intensity μ. A method of studying this problem is proposed which consists in a series expansion of the solution in terms of powers of a small parameter μ. The null expansion term is defined by the Rietz method. The formula describing the dependence of free boundary equation on μ is obtained.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 11, pp 361-378.

Citation Example: Minenko A. S. Investigation of one convective Stefan problem by the Ritz method // Ukr. Mat. Zh. - 2007. - 59, № 11. - pp. 1546–1556.

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