3 papers
math.DS2024
Space-time evolution of Volterra disclinations
Pierluigi Cesana, Alfio Grillo, Marco Morandotti +1
The dynamics of a system of particles subject to a 4th order potential field modeling the space-time evolution of wedge disclinations is studied, focusing on finite systems of disc…
math.AP2024
Variational Solvers for Irreversible Evolutionary Systems
Andrés A León Baldelli, Pierluigi Cesana
We study irreversible evolutionary processes with a general energetic notion of stability. We dedicate this contribution to releasing three nonlinear variational solvers as modular…
math.AP2015
Asymptotic analysis of hierarchical martensitic microstructure
Pierluigi Cesana, Marcel Porta, Turab Lookman
We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly co…