87 citations · 466 across the 33 of their papers we have counts for
5 papers · 1 filter
On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects
Harald Garcke, Kei Fong Lam, Andrea Signori
Mechanical effects have mostly been neglected so far in phase field tumour models that are based on a Cahn-Hilliard approach. In this paper we study a macroscopic mechanical model…
Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms
Matthias Ebenbeck, Kei Fong Lam
We study a phase field model proposed recently in the context of tumour growth. The model couples a Cahn-Hilliard-Brinkman (CHB) system with a elliptic reaction-diffusion equation…
Convergence of a Robin boundary approximation for a Cahn--Hilliard system with dynamic boundary conditions
Patrik Knopf, Kei Fong Lam
We prove the existence of unique weak solutions to an extension of a Cahn--Hilliard model proposed recently by C.~Liu and H.~Wu (2019), in which the new dynamic boundary condition…
Sharp interface limit of a non-mass-conserving Cahn--Hilliard system with source terms and non-solenoidal Darcy flow
Kei Fong Lam
We study the sharp interface limit of a non-mass-conserving Cahn--Hilliard--Darcy system with the weak compactness method developed in Chen (J. Differential Geometry, 1996). The so…
Convergence to equilibrium for a bulk--surface Allen--Cahn system coupled through a Robin boundary condition
Kei Fong Lam, Hao Wu
We consider a coupled bulk--surface Allen--Cahn system affixed with a Robin-type boundary condition between the bulk and surface variables. This system can also be viewed as a rela…