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Investigation of one convective Stefan problem by the Ritz method

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We study a plane stationary convective Stefan problem in the case where convection is caused by the presence of a given rotation of intensity μ. We propose a method for the investigation of this problem. This method is based on the expansion of a solution in a power series in the small parameter μ. The null term of the expansion is determined by the Ritz method. We obtain a relation that describes the dependence of the equation of free boundary on μ.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 11, pp. 1546–1556, November, 2007.

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Minenko, A.S. Investigation of one convective Stefan problem by the Ritz method. Ukr Math J 59, 1737–1749 (2007). https://doi.org/10.1007/s11253-008-0022-y

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  • DOI: https://doi.org/10.1007/s11253-008-0022-y

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