87 citations · 466 across the 33 of their papers we have counts for
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Well-posedness of a Cahn--Hilliard system modelling tumour growth with chemotaxis and active transport
Harald Garcke, Kei Fong Lam
We consider a diffuse interface model for tumour growth consisting of a Cahn--Hilliard equation with source terms coupled to a reaction-diffusion equation. The coupled system of pa…
A Cahn--Hilliard--Darcy model for tumour growth with chemotaxis and active transport
Harald Garcke, Kei Fong Lam, Emanuel Sitka +1
Using basic thermodynamic principles we derive a Cahn--Hilliard--Darcy model for tumour growth including nutrient diffusion, chemotaxis, active transport, adhesion, apoptosis and p…
Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach
Harald Garcke, Claudia Hecht, Michael Hinze +2
We consider shape and topology optimization for fluids which are governed by the Navier--Stokes equations. Shapes are modelled with the help of a phase field approach and the solid…
Analysis of the diffuse domain approach for a bulk-surface coupled PDE system
Helmut Abels, Kei Fong Lam, Björn Stinner
We analyse a diffuse interface type approximation, known as the diffuse domain approach, of a linear coupled bulk-surface elliptic partial differential system. The well-posedness o…