ON A CAHN-HILLIARD TYPE PHASE FIELD SYSTEM RELATED TO TUMOR GROWTH

被引：77

作者：

Colli, Pierluigi ^{[1
]}

Gilardi, Gianni ^{[1
]}

Hilhorst, Danielle ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

[2] Univ Paris 11, Math Lab, F-91405 Orsay, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 06期

关键词：

Phase field model; tumor growth; viscous Cahn-Hilliard equations; well-posedness; long-time behavior; asymptotic analysis; SIMULATION; EQUATION; MODEL;

D O I：

10.3934/dcds.2015.35.2423

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2423 / 2442

页数：20

共 19 条

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[Anonymous], 1973, N HOLLAND MATH STUD

[2]

[Anonymous], 1986, Ann Mat Pura Appl, DOI [DOI 10.1007/BF01762360, DOI 10.1007/BF01762360.MR916688]

[3]

Barbu V., 1976, Nonlinear semigroups and differential equations in Banach spaces

[4] FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY [J].