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Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation
Pierluigi Cesana, Edoardo Fabbrini, Andrés A. León Baldelli +1
We present a numerical formulation for the resolution of finite systems of interacting edge dislocations and wedge disclinations. The approach is based on a finite element discreti…
Equilibrium and Interaction Regimes in Mixed Disclination-Dislocation Systems
Pierluigi Cesana, Marco Morandotti, Aldo Sambo
We investigate equilibrium configurations and dissipative dynamics of simplified disclination--dislocation systems in planar elasticity. We consider an edge dislocation interacting…
Effective Dynamics of Disclination Pairs
Nicolò Briatico, Pierluigi Cesana, Marco Morandotti
The dissipative dynamics of a pair of wedge disclinations with opposite Frank angles confined to a circular domain is investigated under the assumption of radially symmetric motion…
Minimizers of one-dimensional regularization problems with linear and nonlinear total variation
Luca Lussardi, Marco Morandotti, Federico Stra
A study of the minimizers of one-dimensional Rudin-Osher-Fatemi-type functionals with linear or nonlinear total variation and fidelity term is undertaken. Conditions on the input d…
Stabilization of solutions to a model of Langmuir-Blodgett films
Marco Morandotti, Piotr Rybka, Glen Wheeler
We show stabilisation of solutions to one-dimensional advective Cahn-Hilliard equation modeling the Langmuir-Blodgett thin films. This problem has the structure of a gradient flow…