Weak solutions for the fully hyperbolic phasefiel

Authors: Alfredo Lorenzi Elisabetta Rocca

Publish Date: 2006/10/24

Volume: 7, Issue: 1, Pages: 59-78

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Abstract

We consider a conserved phasefield system coupling two nonlinear hyperbolic integrodifferential equations The model results from the assumption that the material undergoing phase transition exhibits some thermal memory effects cf 15 and that the response of the order parameter to the variation of the freeenergy functional is delayed cf 10 23 We prove the existence of the solution to the corresponding initialboundary value problem associated with the resulting PDE system and a conditioned continuous dependence estimate of the solution with respect to the data of the problem

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