The paper deals with a phase field system of Cahn-Hilliard type. For positive viscosity coefficients, the authors prove an existence and uniqueness result and study the long time behavior of the solution by assuming the nonlinearities to be rather general. In a more restricted setting, the limit as the viscosity coefficients tend to zero is investigated as well.

On a Cahn-Hilliard type phase field system related to tumor growth

COLLI, PIERLUIGI;GILARDI, GIANNI MARIA;
2015-01-01

Abstract

The paper deals with a phase field system of Cahn-Hilliard type. For positive viscosity coefficients, the authors prove an existence and uniqueness result and study the long time behavior of the solution by assuming the nonlinearities to be rather general. In a more restricted setting, the limit as the viscosity coefficients tend to zero is investigated as well.
2015
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Esperti anonimi
Inglese
Internazionale
STAMPA
35
6
2423
2442
20
the web address of the preprint arXiv is indicated below.
PHASE FIELD MODEL; TUMOR GROWTH; VISCOUS CAHN-HILLIARD EQUATIONS; WELL POSEDNESS; LONG-TIME BEHAVIOR; ASYMPTOTIC ANALYSIS
http://arxiv.org/abs/1401.5943
3
info:eu-repo/semantics/article
262
Colli, Pierluigi; Gilardi, GIANNI MARIA; Danielle, Hilhorst
1 Contributo su Rivista::1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/872836
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