On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth
From MaRDI portal
Publication:2101066
DOI10.1016/j.jde.2022.10.026zbMath1502.35044arXiv2202.11007OpenAlexW4307406684MaRDI QIDQ2101066
Elisabetta Rocca, Giulio Schimperna, Andrea Signori
Publication date: 28 November 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.11007
Initial-boundary value problems for higher-order parabolic equations (35K35) Medical applications (general) (92C50) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)
Related Items (3)
Cahn–Hilliard–Brinkman model for tumor growth with possibly singular potentials ⋮ Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth ⋮ Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a Cahn-Hilliard type phase field system related to tumor growth
- Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth
- Analysis of a Cahn-Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis
- Model for chemotaxis
- On convergence to equilibria for the Keller-Segel chemotaxis model
- Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth
- Compact sets in the space \(L^ p(0,T;B)\)
- On the existence of radially symmetric blow-up solutions for the Keller-Segel model
- On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities
- The Cahn-Hilliard-Hele-Shaw system with singular potential
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Subdifferential operator approach to the Cahn-Hilliard equation with constraint
- Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials
- On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials
- Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. I: Space convergence
- Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials
- A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion
- On the Cahn-Hilliard-Darcy system with mass source and strongly separating potential
- On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects
- On a non-isothermal Cahn-Hilliard model for tumor growth
- The Cahn-Hilliard equation and some of its variants
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
- A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- A Cahn-Hilliard-type equation with application to tumor growth dynamics
- Finite-time aggregation into a single point in a reaction - diffusion system
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials
- On a diffuse interface model of tumour growth
- Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport
- The Cahn–Hilliard–Oono equation with singular potential
- A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport
- On the Existence of Strong Solutions to the Cahn--Hilliard--Darcy System with Mass Source
- Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Formal asymptotic limit of a diffuse-interface tumor-growth model
- Analysis of a diffuse interface model of multispecies tumor growth
This page was built for publication: On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth
