Data di Pubblicazione:
2009
Citazione:
Existence and boundedness of solutions for a singular phase field system / E. Bonetti, P. Colli, M. Fabrizio, G. Gilardi. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 246:8(2009), pp. 3260-3295. [10.1016/j.jde.2009.02.007]
Abstract:
This paper is devoted to the mathematical analysis of a thermo-mechanical model describing phase transitions in terms of the entropy and order structure balance law. We consider a macroscopic description of the phenomenon and make a presentation of the model. Then, the initial and boundary value problem is addressed for the related PDE system, which contains some nonlinear and singular terms with respect to the temperature variable. Existence of the solution is shown along with the boundedness of both phase variable χ and absolute temperature θsymbol. Finally, uniqueness is proved in the framework of a source term depending Lipschitz continuously on θsymbol.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Global existence and regularity of solutions; Phase field model; Singular parabolic system; Uniqueness; Analysis
Elenco autori:
E. Bonetti, P. Colli, M. Fabrizio, G. Gilardi
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