Vanishing viscosities and error estimate for a CahnHilliard type phase field system related to tumor growth
Articolo
Data di Pubblicazione:
2015
Citazione:
Vanishing viscosities and error estimate for a CahnHilliard type phase field system related to tumor growth / P. Colli, G. Gilardi, E. Rocca, J. Sprekels. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 26(2015), pp. 93-108.
Abstract:
In this paper we perform an asymptotic analysis for two different vanishing viscosity coefficients occurring in a phase field system of Cahn-Hilliard type that was recently introduced in order to approximate a tumor growth model. In particular, we extend some recent results obtained in Colli et al. (2015), letting the two positive viscosity parameters tend to zero independently from each other and weakening the conditions on the initial data in such a way as to maintain the nonlinearities of the PDE system as general as possible. Finally, under proper growth conditions on the interaction potential, we prove an error estimate leading also to the uniqueness result for the limit system.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Asymptotic analysis; Cahn-Hilliard System; Error estimates; Reaction-diffusion equation; Tumor growth
Elenco autori:
P. Colli, G. Gilardi, E. Rocca, J. Sprekels
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