65 citations · 185 across the 24 of their papers we have counts for
5 papers · 1 filter
On a Nanoscopically-Informed Shell Theory of Single-Wall Carbon Nanotubes
Chandrajit Bajaj, Antonino Favata, Paolo Podio-Guidugli
This paper proposes a bottom-up sequence of modeling steps leading to a nanoscopically informed continuum, and as such macroscopic, theory of single-walled carbon nanotubes (SWCNTs…
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
This paper is concerned with a diffusion model of phase-field type, consisting of a parabolic system of two partial differential equations, interpreted as balances of microforces a…
Distributed optimal control of a nonstandard system of phase field equations
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
We investigate a distributed optimal control problem for a phase field model of Cahn-Hilliard type. The model describes two-species phase segregation on an atomic lattice under the…
A New CNT-Oriented Shell Theory
Antonino Favata, Paolo Podio-Guidugli
A theory of linearly elastic orthotropic shells is presented, with potential application to the continuous modeling of Carbon NanoTubes. Two relevant features are: the selected typ…
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns…