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. © 2006 Elsevier Ltd. All rights reserved.
Bonetti, E., Colli, P., Fabrizio, M., & Gilardi, G. (2007). Global solution to a singular integro-differential system related to the entropy balance. Nonlinear Analysis, Theory, Methods and Applications, 66(9), 1949–1979. https://doi.org/10.1016/j.na.2006.02.035