Effect of initial conditions on the speed of reaction-diffusion fronts

Vicenç Méndez López, Joaquim Fort, Toni Pujol i Sagaró

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)#016213/1-016213/6
JournalPhysical Review E
Volume67
Issue number1
DOIs
Publication statusPublished - 2003

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