LAGRANGIAN COORDINATES AND REGULARITY OF INTERFACES IN REACTION-DIFFUSION EQUATIONS

Authors
SHMAREV SI VAZQUEZ JL
Citation
Si. Shmarev et Jl. Vazquez, LAGRANGIAN COORDINATES AND REGULARITY OF INTERFACES IN REACTION-DIFFUSION EQUATIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(8), 1995, pp. 993-998
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
8
Year of publication
1995
Pages
993 - 998
Database
ISI
SICI code
0764-4442(1995)321:8<993:LCAROI>2.0.ZU;2-I
Abstract
We study the regularity of solutions and interfaces of the reaction-di ffusion equation mu(t) = (mu(n))(xx) + f(mu) by means of a formulation in Lagrangian coordinates which transforms the interfaces into straig ht lines. We thereby show how Lagrangian coordinates can be applied to non-divergence equations where the mass conservation law is violated.