Global solution to a phase transition model based on a microforce balance |
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| Authors: | Alain Miranville Giulio Schimperna |
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| Affiliation: | (1) Laboratoire de Mathématiques et Applications, UMR CNRS 6086, Université de Poitiers-SP2MI, Boulevard Marie et Pierre Curie, F-86962 Chasseneuil Futuroscope Cedex, France;(2) Dipartimento di Matematica, Università di Pavia Via Ferrata 1, I-27100 Pavia, Italy |
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| Abstract: | Our aim in this article is to prove the existence and the uniqueness of a global solution to a nonisothermal Ginzburg-Landau (Allen-Cahn) system. This system is obtained by considering, in addition to the fundamental laws of thermodynamics, a balance law for internal microforces proposed by M. Gurtin. |
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| Keywords: | 35B41 80A22 |
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