Formal asymptotic limit of a diffuse-interface tumor-growth model

QR Code

Formal asymptotic limit of a diffuse-interface tumor-growth model

We consider a diffuse-interface tumor-growth model which has the form of a phase-field system. We characterize the singular limit of this problem. More precisely, we formally prove that as the coefficient of the reaction term tends to infinity, the solution converges to the solution of a novel free...

Full description

Bibliographic Details
Main Authors:	Hilhorst, Danielle, Kampmann, Johannes, Nguyen, Thanh Nam, van der Zee, K.G.
Format:	Article
Published:	World Scientific 2015
Subjects:	Reaction-diffusion system; Singular perturbation; Interface motion; Matched asymptotic expansion; Tumor-growth model; Phase-field model; Gradient flow; Stabilized Crank–Nicolson method; Convex-splitting scheme
Online Access:	https://eprints.nottingham.ac.uk/32681/

Similar Items

Valuing option on the maximum of two assets using improving modified Gauss-Seidel method
by: Koh, W., et al.
Published: (2014)

Mathematical modelling of rod photoreceptor metabolism
by: Kunpasuruang, Wannapa
Published: (2009)

Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices
by: Smith, Warren, et al.
Published: (2015)

Applications of perturbation theory to power electronic converters
by: Laterza, Marta
Published: (2022)

Asymptotic and stability analysis of a tumour growth model
by: Genovese de Oliveira, Andrea
Published: (2017)

Stress analysis of overlapped crankshafts
by: Sime, Anthony P.
Published: (1998)

Toric Fano three-folds with terminal singularities
by: Kasprzyk, Alexander M.
Published: (2006)

The singularity index for soil geochemical variables, and a mixture model for its interpretation
by: Lark, R.M., et al.
Published: (2018)

EPRL/FK asymptotics and the flatness problem
by: Camoes de Oliveira, Jose Ricardo
Published: (2016)

Gradient-free method for nonsmooth distributed optimization
by: Li, J., et al.
Published: (2015)

Modified quasi-Newton type methods using gradient flow system for solving unconstrained optimization
by: Yap, Chui Ying
Published: (2016)

Applying asymptotic methods to synthetic biology: modelling the reaction kinetics of the mevalonate pathway
by: Dalwadi, Mohit P., et al.
Published: (2018)

Exponential asymptotics: multi-level asymptotics of model problems
by: Say, Fatih
Published: (2016)

ADAPTIVE VARYING-COEFFICIENT LINEAR MODELS FOR STOCHASTIC PROCESSES: ASYMPTOTIC THEORY
by: Lu, Zudi, et al.
Published: (2007)

Pushed and pulled fronts in a discrete reaction-diffusion equation
by: King, John R., et al.
Published: (2015)

Leading asymptotic terms of the three-body Coulomb scattering wave function
by: Mukhamedzhanov, A., et al.
Published: (2006)

Asymptotic and numerical analysis of nonlocal reaction-diffusion equations
by: Lee, Jia Yin
Published: (2024)

Random sequential adsorption with two components: asymptotic analysis and finite size effects
by: Reeve, Louise, et al.
Published: (2015)

Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
by: Zhang, X., et al.
Published: (2012)

Existence and uniqueness of a positive solution to singular fractional differential equations
by: Wang, Y., et al.
Published: (2012)

Asymptotic analysis of a doubly nonlinear diffusion equation
by: King, John R.
Published: (2016)

Distributed proximal-gradient methods for convex optimization with inequality constraints
by: Li, J., et al.
Published: (2014)

Parameter inference to motivate asymptotic model reduction: an analysis of the gibberellin biosynthesis pathway
by: Band, Leah R., et al.
Published: (2018)

Asymptotic behaviour of tests for a unit root against an explosive alternative
by: Harvey, David I., et al.
Published: (2014)

A note on the asymptotic normality of the kernel deconvolution density estimator with logarithmic chi-square noise
by: Zu, Yang
Published: (2015)

The covariance of multi-field perturbations, pseudo-susy and fNL
by: Saffin, Paul M.
Published: (2012)

Structure and asymptotic theory for nonlinear models with GARCH errors
by: Chan, Felix, et al.
Published: (2015)

Model-to-image registration and automatic texture mapping using a video sequence taken by a mini UAV
by: Iwaszczuk, D., et al.
Published: (2013)

Discovering Concept Mappings by Similarity Propagation among Substructures
by: Pan, Qi, et al.
Published: (2010)

Ordering decisions of single period split order supply chain with various demand distributions
by: Kalpana, P, et al.
Published: (2013)

Discrete element modelling and cavity expansion analysis of cone penetration testing
by: Falagush, Omar, et al.
Published: (2015)

Limitations of perturbative techniques in the analysis of rhythms and oscillations
by: Lin, Kevin K., et al.
Published: (2013)

Color texture image inpainting using the non local CTV model
by: Duan, J., et al.
Published: (2013)

Compensated convex transforms and geometric singularity extraction from semiconvex functions
by: Zhang, Kewei, et al.
Published: (2016)

A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions
by: Holmes, S., et al.
Published: (2002)

Adiabatic and isocurvature perturbation projections in multi-field inflation
by: Gordon, Chris, et al.
Published: (2013)

Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
by: Dang, Y., et al.
Published: (2014)

Single-Period Inventory Models with multiple ordering opportunities: A review
by: Kalpana, P., et al.
Published: (2012)

Centrifuge modelling and analytical solutions for the cone penetration test in layered soils
by: Mo, Pin-Qiang
Published: (2014)

Demographic Crisis: Challenges for Retirement Schemes in Hong Kong
by: HO, K.Y.
Published: (2005)