79 citations · 282 across the 43 of their papers we have counts for
53 papers
Weak solutions and weak-strong uniqueness for a Cahn-Hilliard type model with chemotaxis
Robert Lasarzik, Elisabetta Rocca, Giulio Schimperna
We prove existence of weak solutions and weak-strong uniqueness for a mathematical model which couples the evolution of a phase-parameter satisfying a Cahn-Hilliard type relati…
Global attractor for a Cahn-Hilliard-chemotaxis model with logistic degradation
Giulio Schimperna, Antonio Segatti
We consider a mathematical model coupling the Cahn-Hilliard system for phase separation with an additional equation describing the diffusion process of a chemical quantity whose co…
On the Cahn-Hilliard equation with nonlinear diffusion: the non-convex case
Monica Conti, Stefania Gatti, Andrea Giorgini +1
We investigate the Cahn-Hilliard equation with nonlinear diffusion and non-degenerate mobility modeling phase separation phenomena in complex systems (e.g., crystals and polymers).…
On a modified Cahn-Hilliard-Brinkman model with chemotaxis and nonlinear sensitivity
Giulio Schimperna
We consider an evolutionary PDE system coupling the Cahn-Hilliard equation with singular potential, mass source and transport effects, to a Brinkman-type relation for the macroscop…
The Oberbeck--Boussinesq approximation and Rayleigh--Benard convection revisited
Eduard Feireisl, Elisabetta Rocca, Giulio Schimperna
We consider the Oberbeck--Boussinesq approximation driven by an inhomogeneous temperature distribution on the boundary of a bounded fluid domain. The relevant boundary conditions a…
Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions
Pierluigi Colli, Patrik Knopf, Giulio Schimperna +1
We investigate a new diffuse-interface model that describes creeping two-phase flows (i.e., flows exhibiting a low Reynolds number), especially flows that permeate a porous medium.…