Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Global solvability of a dissipative Frémond model for shape memory alloys. I. Mathematical formulation and uniqueness

Author: Elena Bonetti
Journal: Quart. Appl. Math. 61 (2003), 759-781
MSC: Primary 74N99; Secondary 35K85, 35Q72, 74H20
DOI: https://doi.org/10.1090/qam/2019622
MathSciNet review: MR2019622
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Abstract | References | Similar Articles | Additional Information

Abstract: The mathematical formulation of a dissipative Frémond model for shape memory alloys is given in terms of an initial and boundary values problem. Uniqueness of sufficiently regular solutions is proved by use of a contracting estimates procedure in the case when quadratic dissipative contributions are neglected in the energy balance. The related existence result is only established while its proof will be detailed by the author in a subsequent paper.

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DOI: https://doi.org/10.1090/qam/2019622
Article copyright: © Copyright 2003 American Mathematical Society

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