On a nonlinear model for tumour growth with drug application

DOI10.1088/0951-7715/28/5/1463zbMath1316.35225arXiv1408.4794OpenAlexW3100159425MaRDI QIDQ5251066

Donatella Donatelli, Konstantina Trivisa

Publication date: 22 May 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4794

zbMATH Keywords

existencepenalizationmixed modelsmoving domaincancer progressiontumour growth models

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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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 ⋮ On a nonlinear model for tumor growth in a cellular medium ⋮ Analysis and Simulations on a Model for the Evolution of Tumors Under the Influence of Nutrient and Drug Application ⋮ On a Fluid-Particle Interaction Model: Global in Time Weak Solutions Within a Moving Domain in $$\mathbb{R}^{3}$$ ⋮ On a Cahn--Hilliard--Brinkman Model for Tumor Growth and Its Singular Limits

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