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

Pierluigi Colli | Zendy; Gianni Gilardi | Zendy; Dorothea Hilhorst | Zendy

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

Author(s) -

Pierluigi Colli,

Gianni Gilardi,

Dorothea Hilhorst

Publication year - 2015

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2015.35.2423

Subject(s) - cahn–hilliard equation , viscosity , limit (mathematics) , type (biology) , phase (matter) , field (mathematics) , phase field models , zero (linguistics) , viscosity solution , mathematics , mathematical analysis , physics , mathematical physics , thermodynamics , pure mathematics , quantum mechanics , partial differential equation , geology , paleontology , linguistics , philosophy

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.

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