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.

Global well-posedness for a phase transition model with irreversible evolution and acceleration forces

Bonfanti, Giovanna
;
Luterotti, Fabio
2017-01-01

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.
2017
Ateneo di appartenenza
Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs - Springer INdAM Series
Bonfanti Giovanna, Luterotti Fabio
PE1_8 Analysis
Esperti anonimi
Inglese
Internazionale
STAMPA
22
97
117
21
9783319644882
Springer International Publishing
Existence; Irreversibility; Microscopic accelerations; Phase changes; Uniqueness.
Altre Amm. Pubb. Italiane
no
2 Contributo in Volume::2.1 Contributo in volume (Capitolo o Saggio)
2
268
none
Bonfanti, Giovanna; Luterotti, Fabio
info:eu-repo/semantics/bookPart
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/501363
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