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19952026
most citedA SIDARTHE Model of COVID-19 Epidemic in Italy

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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…

math.AP2024

Global Weak Solutions to a Navier-Stokes-Cahn-Hilliard System with Chemotaxis and Mass Transport: Cross Diffusion versus Logistic Degradation

Andrea Giorgini, Jingning He, Hao Wu

We analyze a diffuse interface model that describes the dynamics of incompressible two-phase flows influenced by interactions with a soluble chemical substance, encompassing the ch…

math.AP2024★ 1 cited

Complex pattern formation governed by a Cahn-Hilliard-Swift-Hohenberg system: Analysis and numerical simulations

Harald Garcke, Kei Fong Lam, Robert Nürnberg +1

This paper investigates a Cahn-Hilliard-Swift-Hohenberg system, focusing on a three-species chemical mixture subject to physical constraints on volume fractions. The resulting syst…

math.AP2024

Long-time behavior of an anisotropic rigid body interacting with a Poiseuille flow in an unbounded 2D channel

Denis Bonheure, Matthieu Hillairet, Clara Patriarca +1

We study the long-time behavior of an elliptic rigid body which is allowed to vertically translate and rotate in a 2D unbounded channel under the action of a Poiseuille flow at lar…