Abstract
In this paper we investigate a nonlinear PDE system describing irreversible phase transition phenomena where inertial effects are also included. Its derivation comes from the modelling approach proposed by M. Frémond. We obtain a global in time existence and uniqueness result for the related initial and boundary value problem.
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Acknowledgements
This work is dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday and it has been partially supported by GNAMPA (Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni) of INdAM (Istituto Nazionale di Alta Matematica).
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Bonfanti, G., Luterotti, F. (2017). Global Well-Posedness for a Phase Transition Model with Irreversible Evolution and Acceleration Forces. In: Colli, P., Favini, A., Rocca, E., Schimperna, G., Sprekels, J. (eds) Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs. Springer INdAM Series, vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-64489-9_5
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DOI: https://doi.org/10.1007/978-3-319-64489-9_5
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