Abstract
A description of frontal polymerization is given via a free boundary model with nonlinear kinetic and kinematic conditions at the free boundary. We perform a weakly nonlinear analysis for the development of pulsating instabilities on the cylinder, building on the linear stability analysis of [1]. We take as a bifurcation parameter an experimentally measurable combination of material and kinetic parameters. The asymptotic analysis leads to the derivation of an ordinary differential equation of Landau–Stuart type for the slowly varying amplitude of a linearly unstable mode. We classify nonlinear dynamics of the polymerization front by doing a parameter sensitivity study of the amplitude equation.
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