Effect of initial conditions on the speed of reaction-diffusion fronts.
The effect of initial conditions on the speed of propagating fronts in reaction-diffusion equations is examined in the framework of the Hamilton-Jacobi theory. We study the transition between quenched and nonquenched fronts both analytically and numerically for parabolic and hyperbolic reaction diffusion. Nonhomogeneous media are also analyzed and the effect of algebraic initial conditions is also discussed.
Méndez
Vicenç
V
Departament de Medicina, Facultat de Ciències de la Salut, Universitat Internacional de Catalunya, c/ Gomera s/n, 08190-Sant Cugat del Vallès (Barcelona), Spain.
Fort
Joaquim
J
Pujol
Toni
T