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15 papers · 2 filters
Minimizers of the prescribed curvature functional in a Jordan domain with no necks
Gian Paolo Leonardi, Giorgio Saracco
We provide a geometric characterization of the minimal and maximal minimizer of the prescribed curvature functional among subsets of a Jordan domain with no necks o…
Sliding mode control for a generalization of the Caginalp phase-field system
Pierluigi Colli, Davide Manini
In the present paper, we present and solve the sliding mode control (SMC) problem for a second-order generalization of the Caginalp phase-field system. This generalization, inspire…
The property in the isoperimetric problem with double density, and the regularity of isoperimetric sets
Aldo Pratelli, Giorgio Saracco
We prove the validity of the property in the isoperimetric problem with double density, generalising the known properties for the case of single density…
On a Class of Sixth-order Cahn-Hilliard Type Equations with Logarithmic Potential
Giulio Schimperna, Hao Wu
We consider a class of six-order Cahn-Hilliard equations with logarithmic type potential. This system is closely connected with some important phase-field models relevant in differ…
Nonlinear electrokinetics in nematic electrolytes
E. Feireisl, E. Rocca, G. Schimperna +1
In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid…
Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system
Elena Bonetti, Pierluigi Colli, Luca Scarpa +1
In this paper we deal with a doubly nonlinear Cahn-Hilliard system, where both an internal constraint on the time derivative of the concentration and a potential for the concentrat…