Mechanics of continuous systems

  • Classical and relativistic field theories.
  • Physical and mathematical aspects of extended theories of gravity, with applications to cosmology and astrophysics.
  • Geometrical aspects of classical mechanics.
  • Techniques of differential geometry for the study of innovative materials.
  • Mathematical methods and models for simulation in modern engineering.
  • Mathematical models for diffusion theory and its applications
  • Solid mechanics
  • Mathematical foundations of quantum information
  • Estimation and control of dynamical systems described by partial differential equations


  • Angelo Alessandri
  • Patrizia Bagnerini
  • Franco Bampi
  • Sante Carloni
  • Claudio Carmeli
  • Roberto Cianci
  • Luca Fabbri
  • Enrico Massa
  • Stefano Vignolo


  • Laboratory of applied mathematics, simulation and mathematical modelling.


  • S. Vignolo, R. Cianci and S. Carloni, On the junction conditions in f(R)-gravity with torsion, Class. Quantum Grav., Vol. 35, 2018, 095014.
  • E. Massa and S. Vignolo, Small oscillations of non-dissipative Lagrangian systems, J. Math. Phys., Vol. 60, 2019, 042902
  • S. Bahamonde, C. G. Böhmer, S. Carloni, E. J. Copeland, W. Fang, and N. Tamanini, Dynamical Systems Applied to Cosmology: Dark Energy and Modified Gravity, Phys. Reports Vol. 775-777, 2018,1.
  • Claudio Carmeli, Teiko Heinosaari, and Alessandro Toigo, Quantum Incompatibility Witnesses Phys. Rev. Lett., Vol. 122, 2019, 130402.
  • P. Feola, Xisco Jiménez Forteza, S. Capozziello, R. Cianci, and S. Vignolo, Mass-radius relation for neutron stars in f(R)=R+αR^2 gravity: A comparison between purely metric and torsion formulations, Phys. Rev. D, Vol. 101, 2020, 044037.
  • Alessandri, P. Bagnerini, R. Cianci, S. Donnarumma, A. Taddeo, Stabilization of diffusive systems using backstepping and the circle criterion, Int. Journal of Heat and Mass Transfer, Vol. 149, 2020, 1-10.
  • Alessandri, P. Bagnerini, R. Cianci, R. Revetria, Transport and balance equations with boundary values problems for modeling and estimation of thermal flows, Advances in Mathematical Physics, Vol. 20, 2020.


Last update 19 January 2022