Asymptotics of Propagating Front Formation in Diffusion Kinetics Academic Article uri icon


  • The paper deals with the asymptotic formation of a weak shock in a boundary value problem. Problems of the type treated arise in heterogenous reaction-diffusion kinetics with local reaction equilibrium. A uniformly valid asymptotic solution was constructed with the aid of an unconventional asymptotic procedure, by means of regular perturbations around a single smoothly matched multiscale leading term.

publication date

  • June 1, 1985