This paper is devoted to the mathematical analysis of a thermodynamic model describing phase transitions with thermal memory in terms of an entropy equation and a momentum balance for the microforces. The initial and boundary value problem is addressed for the related integro-differential system of partial differential equations (PDEs). Existence and uniqueness, continuous dependence on the data, and regularity results are proved for the global solution, in a finite time interval.
Global solution to a singular integro-differential system related to the entropy balance / E. Bonetti, P. Colli, M. Fabrizio, G. Gilardi. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 66:9(2007), pp. 1949-1979. [10.1016/j.na.2006.02.035]
Global solution to a singular integro-differential system related to the entropy balance
E. BonettiPrimo
;
2007
Abstract
This paper is devoted to the mathematical analysis of a thermodynamic model describing phase transitions with thermal memory in terms of an entropy equation and a momentum balance for the microforces. The initial and boundary value problem is addressed for the related integro-differential system of partial differential equations (PDEs). Existence and uniqueness, continuous dependence on the data, and regularity results are proved for the global solution, in a finite time interval.
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