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):
For b = 0, the
axisymmetric Ivantsov solution is recovered.