Data di Pubblicazione:
2007
Citazione:
Weak solutions for the fully hyperbolic phase-field system of conserved type / A. Lorenzi, E. Rocca. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - 7:1(2007), pp. 59-78. [10.1007/s00028-006-0235-1]
Abstract:
We consider a conserved phase-field system coupling two nonlinear hyperbolic integro-differential 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 free-energy functional is delayed (cf. [10, 23]). We prove the existence of the solution to the corresponding initial-boundary 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Continuous dependence results; Existence and uniqueness; Hyperbolic integro-differential equations; Phase-field system
Elenco autori:
A. Lorenzi, E. Rocca
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