On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms
From MaRDI portal
Publication:1712805
DOI10.1007/978-3-319-75940-1_12zbMath1406.92296arXiv1611.00234OpenAlexW2546883332MaRDI QIDQ1712805
Publication date: 31 January 2019
Full work available at URL: https://arxiv.org/abs/1611.00234
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)
Related Items (max. 100)
Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms ⋮ Nonlocal Cahn-Hilliard-Brinkman system with regular potential: regularity and optimal control ⋮ Optimal control problems with sparsity for tumor growth models involving variational inequalities ⋮ Tumor evolution models of phase-field type with nonlocal effects and angiogenesis ⋮ On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow ⋮ Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme ⋮ Cahn–Hilliard–Brinkman model for tumor growth with possibly singular potentials ⋮ Optimal distributed control of an extended model of tumor growth with logarithmic potential ⋮ Second-Order Sufficient Conditions in the Sparse Optimal Control of a Phase Field Tumor Growth Model with Logarithmic Potential ⋮ Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis ⋮ Asymptotic analysis of a tumor growth model with fractional operators ⋮ Analysis of a Cahn-Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis ⋮ Optimal medication for tumors modeled by a Cahn-Hilliard-Brinkman equation ⋮ Penalisation of long treatment time and optimal control of a tumour growth model of Cahn-Hilliard type with singular potential ⋮ Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials ⋮ Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis ⋮ Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach ⋮ Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation ⋮ On the unsteady Darcy–Forchheimer–Brinkman equation in local and nonlocal tumor growth models ⋮ Cahn-Hilliard-Brinkman systems for tumour growth ⋮ On a Cahn--Hilliard--Brinkman Model for Tumor Growth and Its Singular Limits ⋮ On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport ⋮ Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis
This page was built for publication: On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms
