p. 205 - 222 Continuity with respect to data and parameters of weak solutions to a Stefan-like problem A. Muntean 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. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2009, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |