Howarth, J. A. The Stefan problem for a slightly wavy wall. (English) Zbl 0727.73001 Mech. Res. Commun. 17, No. 1, 25-31 (1990). In the paper a fully two-dimensional Stefan problem is solved by a regular perturbation method for the case of a general slight deviation of wall geometry. An approximate solution is obtained in terms of linearized two-dimensional perturbations of a one-dimensional case. Three particular examples are given, namely, a sinusoidal corrugation on the wall (as is seen in refrigerator freezer compartments), a slight hump, and a plane wall rotated very slightly. Reviewer: I.Zino (St.Petersburg) MSC: 74A15 Thermodynamics in solid mechanics 80A22 Stefan problems, phase changes, etc. 35R35 Free boundary problems for PDEs Keywords:regular perturbation method; general slight deviation of wall geometry; approximate solution; linearized two-dimensional perturbations of a one- dimensional case PDFBibTeX XMLCite \textit{J. A. Howarth}, Mech. Res. Commun. 17, No. 1, 25--31 (1990; Zbl 0727.73001) Full Text: DOI