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2000 Local classical solutions for a chemical system with free boundary
Stéphane Clain, José-Francisco Rodrigues
Differential Integral Equations 13(7-9): 903-920 (2000). DOI: 10.57262/die/1356061203


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.


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Stéphane Clain. José-Francisco Rodrigues. "Local classical solutions for a chemical system with free boundary." Differential Integral Equations 13 (7-9) 903 - 920, 2000.


Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 0976.35099
MathSciNet: MR1775239
Digital Object Identifier: 10.57262/die/1356061203

Primary: 35R35
Secondary: 35K50 , 35K57

Rights: Copyright © 2000 Khayyam Publishing, Inc.

Vol.13 • No. 7-9 • 2000
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