Linear and nonlinear marginal stability for fronts of hyperbolic reaction diffusion equations.
We study traveling fronts of equations of the form u(tt)+phi(u)u(x)=u(xx)+f(u). A criterion for the transition from linear to nonlinear marginal stability is established for positive functions phi(u) and for any reaction term f(u) for which the usual parabolic reaction diffusion equation u(t)=u(xx)+f(u) admits a front. As an application, we treat reaction diffusion systems with transport memory.
Benguria
R D
RD
Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile.
Depassier
M C
MC