Differential and Integral Equations
- Differential Integral Equations
- Volume 13, Number 7-9 (2000), 903-920.
Local classical solutions for a chemical system with free boundary
This paper treats a two-dimensional, free-boundary problem arising in a mathematical model of chemical attack. A diffusion system is solved with a nonlinear condition on the free boundary, whose velocity is governed by the reaction of the concentrations of several compounds. An existence and uniqueness result of classical solutions is given in Hölder spaces, locally in time, for the corresponding Stefan-like problem to a system of parabolic equations with kinetic boundary condition.
Differential Integral Equations, Volume 13, Number 7-9 (2000), 903-920.
First available in Project Euclid: 21 December 2012
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Clain, Stéphane; Rodrigues, José-Francisco. Local classical solutions for a chemical system with free boundary. Differential Integral Equations 13 (2000), no. 7-9, 903--920. https://projecteuclid.org/euclid.die/1356061203