Global solution to a singular integro-differential system related to the entropy balance

  • Bonetti E
  • Colli P
  • Fabrizio M
 et al. 
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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. © 2006 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Entropy equation
  • Existence and uniqueness
  • Nonlinear partial differential equations
  • Phase field model
  • Regularity of solutions
  • Thermal memory

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