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Continuity with respect to data and parameters of weak solutions to a Stefan-like problem
Received: March 19, 2008; Revised: January 14, 2009; Accepted: January 16, 2009
Abstract. We study a reaction-diffusion system with moving boundary describing a prototypical fast reaction-diffusion scenario arising in the chemical corrosion of concrete-based materials. We prove the continuity with respect to data and parameters of weak solutions to the resulting moving-boundary system of partial differential equations.
Keywords: Moving-boundary problem; reaction-diffusion system; concrete corrosion.
AMS Subject classification: Primary: 35R35, 35K57; Secondary: 74F25.
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