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Showing 2025 · math.APShow all
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math.AP2025
On a relaxed Cahn-Hilliard tumour growth model with single-well potential and degenerate mobility
Cecilia Cavaterra, Matteo Fornoni, Maurizio Grasselli +1
We consider a phase-field system modelling solid tumour growth. This system consists of a Cahn-Hilliard equation coupled with a nutrient equation. The former is characterised by a…
math.AP2025
Global Weak Solutions of a Thermodynamically Consistent Diffuse Interface Model for Nonhomogeneous Incompressible Two-phase Flows with a Soluble Surfactant
Bohan Ouyang, Maurizio Grasselli, Hao Wu
We study a thermodynamically consistent diffuse interface model that describes the motion of a two-phase flow of two viscous incompressible Newtonian fluids with unmatched densitie…
math.AP2025★ 1 cited
On a Cahn-Hilliard equation for the growth and division of chemically active droplets modeling protocells
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
The Cahn-Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not g…