Viscoelastic Cahn–Hilliard models for tumor growth
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Publication:6099254
DOI10.1142/s0218202522500634zbMath1524.35659arXiv2204.04147MaRDI QIDQ6099254
Dennis Trautwein, Harald Garcke, Balázs Kovács
Publication date: 19 June 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.04147
Initial-boundary value problems for higher-order parabolic equations (35K35) Viscoelastic fluids (76A10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- Automated solution of differential equations by the finite element method. The FEniCS book
- Global solutions for incompressible viscoelastic fluids
- Compact sets in the space \(L^ p(0,T;B)\)
- A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility
- Finite element approximation of a sixth order nonlinear degenerate parabolic equation
- Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model
- Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis
- A phase-field model for fluid-structure interaction
- Optimal medication for tumors modeled by a Cahn-Hilliard-Brinkman equation
- Cahn-Hilliard-Brinkman systems for tumour growth
- Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport
- Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms
- A viscoelastic model for avascular tumor growth
- New entropy estimates for the Oldroyd-B model and related models
- Method of Lagrange multipliers for exploitation of the entropy principle
- Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility
- Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics
- Numerical Approximation of Partial Differential Equations
- A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
- Selection, calibration, and validation of models of tumor growth
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- EXISTENCE AND APPROXIMATION OF A (REGULARIZED) OLDROYD-B MODEL
- Existence of Global Weak Solutions to Some Regularized Kinetic Models for Dilute Polymers
- On the formulation of rheological equations of state
- Finite Element Methods for Navier-Stokes Equations
- Finite element approximation of the FENE-P model
- Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport
- Finite Element Approximation of a Phase Field Model for Void Electromigration
- Global Existence Result for the Generalized Peterlin Viscoelastic Model
- Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms
- Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- On a Cahn--Hilliard--Brinkman Model for Tumor Growth and Its Singular Limits
- On convergent schemes for two-phase flow of dilute polymeric solutions
- A linear mixed finite element scheme for a nematic Ericksen–Leslie liquid crystal model
- On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities
- The Mathematical Theory of Finite Element Methods
- On hydrodynamics of viscoelastic fluids
- Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects
- Mathematical Modeling
- Finite Elements
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