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Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth - MaRDI portal

Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth (Q6189963)

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scientific article; zbMATH DE number 7800062

Language	Label	Description	Also known as
English	Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth	scientific article; zbMATH DE number 7800062

Statements

scholarly article

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Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth (English)

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Juergen Sprekels

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Discrete and Continuous Dynamical Systems. Series S

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publication date

5 February 2024

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full work available at URL

https://arxiv.org/abs/2309.09052

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zbMATH Keywords

Cahn-Hilliard equation

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optimal control

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Keller-Segel equation

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chemotaxis

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tumor growth

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MaRDI profile type

MaRDI publication profile

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An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis

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Continuous and discrete mathematical models of tumor-induced angiogenesis

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Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials

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Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis

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Optimal control problems with sparsity for tumor growth models involving variational inequalities

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Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis

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Analysis of a Cahn-Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis

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A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport

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From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II

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Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms

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Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis

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On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth

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On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport

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Optimal distributed control of an extended model of tumor growth with logarithmic potential

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Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

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Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

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Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/DCDSS.2023123

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Sitelinks

Mathematics(1 entry)

mardi Publication:6189963

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