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math.AP2025
Velocity optimization of self-equilibrated obstacles in a two-dimensional viscous flow
Gilles A. Francfort, Alessandro Giacomini, Scott Weady
An obstacle is immersed in an externally driven 2D Stokes or Navier-Stokes fluid. We study the self-equilibration conditions for that obstacle under steady state assumptions on the…
math.AP2024
Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity
Jean-François Babadjian, Alessandro Giacomini, Maria Giovanna Mora
This work addresses the question of regularity of solutions to evolutionary (quasi-static and dynamic) perfect plasticity models. Under the assumption that the elasticity set is a…