Horvay-Cahn Solution [1961] (2-fold)
Paraboloids with elliptical cross-section:
Here w is the independent variable, and b ≠ 0 generates an elliptical cross section.
Solid-liquid interface is w = P, temperature field is T = T(w):
Conservation of energy:
For b = 0, the axisymmetric Ivantsov solution is recovered.