Singular limit of an integrodifferential system related to the entropy balance

2013/01/13 by Bonetti, Elena, Colli, Pierluigi, Gilardi, Gianni
#35B40 #35K55 #35Q79 #80A22 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1301.2806

Abstract

A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results and error estimates are proved for the related integrodifferential system of PDE as the sequence of memory kernels converges to a multiple of a Dirac delta, in a suitable sense.

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