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 integrodiffierential system of PDE as the sequence of memory kernels converges to a multiple of a Dirac delta, in a suitable sense.
Singular limit of an integrodifferential system related to the entropy balance / E. Bonetti, P. Colli, G. Gilardi. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 19:7 (Special Issue)(2014 Sep), pp. 1935-1953.
Singular limit of an integrodifferential system related to the entropy balance
E. BonettiPrimo
;
2014
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 integrodiffierential 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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