Liesegang patterned solutions of ternary diffusion equations with precipitate sinks

Generalizations of Zener's solutions to the diffusion equations in one and two dimensions have been found for the case where dilute precipitation accompanying ternary diffusion goes unstable on account of a negative eigenvalue. In the planar case the eigenfunction corresponding to the negative coefficient D is a periodic Kummerian function of the parabolic coordinate In the important asymptotic limit this solution implies pure spatial …