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Giovanni Di Fratta

 ◽Publications

  1. G. Di Fratta, C. Muratov, V. Slastikov, Reduced energies for thin ferromagnetic films with perpendicular anisotropy. Preprint (2023).
  2. G. Di Fratta, V. Slastikov, Curved thin-film limits of chiral Dirichlet energies. Nonlinear Analysis 234 (2023): 113303.
  3. E. Davoli, G. Di Fratta, A. Fiorenza, L. Happ, A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents. Preprint (2023).
  4. E. Davoli, G. Di Fratta, V. Pagliari, Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula. Preprint (2023).
  5. G. Di Fratta, A. Monteil, V. Slastikov, Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization. SIAM Journal on Mathematical Analysis (SIMA), 2022.
  6. G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics. Computational Methods in Applied Mathematics (CMAM), (2022) .
  7. G. Di Fratta, A. Fiorenza, A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev Spaces. Journal of Functional Analysis (2022), 283(5):109552.
  8. G. Di Fratta, A. Fiorenza, V. Slastikov, On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces.   Mathematics in Engineering, 2023.
  9. E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri, Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction.   Mathematical Models and Methods in Applied Sciences (M3AS), (2022) 23(5):911-939.
  10. G. Di Fratta, A. Jüngel, D. Praetorius, V. Slastikov, Spin-diffusion model for micromagnetics in the limit of long times.  Journal of Differential Equations 343 (2023): 467-494.
  11. G. Di Fratta, A. Fiorenza, V. Slastikov, An estimate of the blow-up of Lebesgue norms in the non-tempered case.  Journal of Mathematical Analysis and Applications (2021) 493(11).
  12. G. Di Fratta, Micromagnetics of curved thin films. Zeitschrift für angewandte Mathematik und Physik (2020) 71(111).
  13. G. Di Fratta, M. Innerberger, D. Praetorius, Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics.  Nonlinear Analysis: Real World Applications (2020), 55:103122.
  14. F. Alouges, G. Di Fratta, Parking 3-sphere swimmer II. The long-arm asymptotic regime.  European Physics Journal E (2020) 43(6).
  15. G. Di Fratta, A. Fiorenza, BMO-type seminorms from Escher-type tessellations. Journal of Functional Analysis (2020), 279(3):108556.
  16. G. Di Fratta, C. Muratov, F. Rybakov, V. Slastikov, Variational principles of micromagnetics revisited. SIAM Journal on Mathematical Analysis (2020), 52(4):3580-3599.
  17. E. Davoli, G. Di Fratta, Homogenization of Chiral Magnetic Materials: A Mathematical Evidence of Dzyaloshinskii's Predictions on Helical Structures. Journal of Nonlinear Science (JNLS) (2020), 30:1229-1262.
  18. G. Di Fratta, A. Fiorenza, A short proof of local regularity of distributional solutions of Poisson's equation. Proceedings of the AMS -- American Mathematical Society (2020), 148:2143-2148.
  19. G. Di Fratta, J. Robbins, V. Slastikov, A. Zarnescu, Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals. Archive for Rational Mechanics and Analysis (ARMA) (2020), 236:1089-1125.
  20. G. Di Fratta, V. Slastikov, A. Zarnescu, On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics. SIAM Journal on Mathematical Analysis, 2019, Vol. 51, No. 4: pp. 3373-3387.
  21. G. Di Fratta, T. Führer, G. Gantner, D. Praetorius, Adaptive Uzawa algorithm for the Stokes equation. ESAIM: M2AN (2019), 53(6):1841-1870.
  22. G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stifner, Linear second-order imex-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation. IMA Journal of Numerical Analysis, 2019.
  23. D. Cruz-Uribe, G. Di Fratta, A. Fiorenza, Modular inequalities for the maximal operator in variable Lebesgue spaces. Nonlinear Analysis, 2018, Vol. 177, Part A, pp. 299-311.
  24. G. Di Fratta, Dimension reduction for the micromagnetic energy functional on curved thin films. arXiv preprint arXiv:1609.08040
  25. F. Alouges, G. Di Fratta, Parking 3-sphere swimmer I: Energy minimizing strokes.  Discrete and Continuous Dynamical Systems - Series B - AIMS.  
  26. F. Alouges, G. Di Fratta, Cell averaging two-scale convergence: Applications to periodic homogenization, Multiscale Modeling & Simulation - SIAM, 15.4 (2017): 1651-1671.
  27. G. Di Fratta, The Newtonian Potential and the Demagnetizing Factors of the General Ellipsoid,Proc. R. Soc. A. Vol. 472. No. 2190. The Royal Society, 2016.
  28. G. Di Fratta, J. M. Robbins, V. Slastikov, A. Zarnescu, Half-Integer Point Defects in the Q-Tensor Theory of Nematic Liquid Crystals, Journal of NonLinear Science 1 (2015): 42.
  29. F. Alouges, G. Di Fratta, Homogenization of composite ferromagnetic materials Proc. R. Soc. A. Vol. 471. No. 2182. The Royal Society, 2015.
  30. F. Alouges, G. Di Fratta, B. Merlet, Liouville type results for local minimizers of the micromagnetic energy, Calculus of Variations and Partial Differential Equations 53.3-4 (2015): 525-560.
  31. G. Di Fratta, On the nature of magnetization states minimizing the micromagnetic free energy functional , Ph.D. Thesis (2013).
  32. G. Di Fratta, C. Serpico, M. d'Aquino, A generalization of the fundamental theorem of Brown for fine ferromagnetic particles, Physica B: Condensed Matter, (407), 1368 (2012).
  33. M. d'Aquino, G. Di Fratta, C. Serpico, G. Bertotti, R. Bonin, I.D. Mayergoyz, Current-driven chaotic magnetization dynamics in microwave assisted switching of spin-valve elements. Journal of Applied Physics 109.7 (2011): 07D349.
  34. G. Di Fratta, A. Fiorenza, A direct approach to the duality of grand and small Lebesgue spaces, Nonlinear Analysis, 70, Elsevier (2009)
  35. G. Di Fratta, C. Serpico, M. d'Aquino, A Rigorous treatment of Nucleation Modes Spectrum in Micromagnetics, Physica B: Condensed Matter, 403, Elesevier (2008).
  36. G. Di Fratta, Schemi sulla Teoria della misura e dell'integrazione, in R. Fiorenza, Lezioni di Analisi Funzionale, Coinor ISBN 88-7893-003-2 (2008).