Investigation of one convective Stefan problem by the Ritz method

  • A. S. Minenko


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.
How to Cite
Minenko, A. S. “Investigation of One Convective Stefan Problem by the Ritz Method”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 11, Nov. 2007, pp. 1546–1556,
Research articles