6 papers
Optimal Control of a Navier-Stokes-Cahn-Hilliard System for Membrane-fluid Interaction
Andrea Signori, Hao Wu
We consider an optimal control problem for a two-dimensional Navier-Stokes-Cahn-Hilliard system arising in the modeling of fluid-membrane interaction. The fluid dynamics is governe…
Optimal velocity control of a Brinkman-Cahn-Hilliard system with curvature effects
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
We address an optimal control problem governed by a system coupling a Brinkman-type momentum equation for the velocity field with a sixth-order Cahn-Hilliard equation for the phase…
On Brinkman flows with curvature-induced phase separation in binary mixtures
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
The mathematical analysis of diffuse-interface models for multiphase flows has attracted significant attention due to their ability to capture complex interfacial dynamics, includi…
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…
Solvability and optimal control of a multi-species Cahn-Hilliard-Keller-Segel tumor growth model
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
This paper investigates an optimal control problem associated with a two-dimensional multi-species Cahn-Hilliard-Keller-Segel tumor growth model, which incorporates complex biologi…
Curvature effects in pattern formation: well-posedness and optimal control of a sixth-order Cahn-Hilliard equation
Pierluigi Colli, Gianni Gilardi, Andrea Signori +1
This work investigates the well-posedness and optimal control of a sixth-order Cahn-Hilliard equation, a higher-order variant of the celebrated and well-established Cahn-Hilliard e…