title: Lateral instability of stationary spherical reaction balls.
abstract: Three-dimensional stability of stationary reaction balls is investigated in a system consisting of an autocatalysis accompanied by a slow decay of the autocatalyst. Radially stable stationary spherical structures become unstable to three-dimensional perturbations at small decay rate when the radius of the reaction ball is sufficiently large and the reactant diffuses faster than the autocatalyst. A thorough linear stability analysis and simulations in three spatial dimensions are carried out in the simplest system sustaining stationary reaction balls.
authors.affiliation: Department of Physical Chemistry, University of Szeged, P.O. Box 105, Szeged, H-6701, Hungary.
authors.forename: Agota
authors.initials: A
authors.lastname: Tóth
authors.forename: Péter
authors.initials: P
authors.lastname: Kevei
authors.forename: Dezso
authors.initials: D
authors.lastname: Horváth