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On the Existence of Weak Solutions for a 1-D Free-Boundary Concrete Carbonation Problem

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Abstract

In this paper we deal with a one-dimensional free-boundary problem arising in the modeling of concrete carbonation process. More precisely, we investigate global existence, uniqueness and large-time behavior of weak solutions for the problem under consideration. We also obtain the existence of a weak solution when the measure of the initial domain vanishes.

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  1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, via Cinthia, 80126, Napoli, Italy

    Vincenzo Ambrosio

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  1. Vincenzo Ambrosio
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Correspondence to Vincenzo Ambrosio.

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Ambrosio, V. On the Existence of Weak Solutions for a 1-D Free-Boundary Concrete Carbonation Problem. Acta Appl Math 156, 109–132 (2018). https://doi.org/10.1007/s10440-018-0156-3

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  • DOI: https://doi.org/10.1007/s10440-018-0156-3

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