87 citations · 466 across the 33 of their papers we have counts for
7 papers · 1 filter
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials
Sergio Frigeri, Kei Fong Lam, Elisabetta Rocca +1
We consider a model describing the evolution of a tumor inside a host tissue in terms of the parameters , (proliferating and dead cells, respectively), (cell velocit…
Parameter identification via optimal control for a Cahn--Hilliard-chemotaxis system with a variable mobility
Christian Kahle, Kei Fong Lam
We consider the inverse problem of identifying parameters in a variant of the diffuse interface model for tumour growth model proposed by Garcke, Lam, Sitka and Styles (Math. Model…
On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities
Sergio Frigeri, Kei Fong Lam, Elisabetta Rocca
We study a non-local variant of a diffuse interface model proposed by Hawkins--Darrud et al. (2012) for tumour growth in the presence of a chemical species acting as nutrient. The…
Thermodynamically Consistent Navier--Stokes--Cahn--Hilliard Models with Mass Transfer and Chemotaxis
Kei Fong Lam, Hao Wu
We derive a class of Navier--Stokes--Cahn--Hilliard systems that models two-phase flows with mass transfer coupled to the process of chemotaxis. These thermodynamically consistent…
A phase field approach to shape optimization in Navier--Stokes flow with integral state constraint
Harald Garcke, Michael Hinze, Christian Kahle +1
We consider the shape optimization of an object in Navier--Stokes flow by employing a combined phase field and porous medium approach, along with additional perimeter regularizatio…
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
We derive a Cahn-Hilliard-Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of…
A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities
Luca Dedè, Harald Garcke, Kei Fong Lam
Topology changes in multi-phase fluid flows are difficult to model within a traditional sharp interface theory. Diffuse interface models turn out to be an attractive alternative to…