Dario Graffi

Dario Graffi (10 January 1905 – 28 December 1990) was an influential Italian mathematical physicist. He is known for his researches on the Electromagnetic field, particularly for a mathematical explanation of the Luxemburg effect, for proving an important uniqueness theorem for the solutions of a class of fluid dynamics equations including the Navier-Stokes equation, for his researches in continuum mechanics and for his contribution to oscillation theory.

Selected works

• Graffi, Dario (1936), "Una teoria ereditaria dell'effetto Lussemburgo", Rendiconti del Seminario Matematico della Università di Padova (in Italian) 7: 36–54, JFM 62.0546.02, Zbl 0015.13705 . In the paper "An hereditary theory of the Luxemburg effect" (English translation of the title), written only few years after the discovery of the effect itself, Dario Graffi proposes a theory of the Luxemburg effect based on Volterra's theory of hereditary phenomena.
• Graffi, Dario (2 November 1959), "Sur un théorème d'unicité pour le mouvement d'un fluide visqueux dans un domaine illimité", Comptes rendus hebdomadaires des séances de l'Académie des sciences (in French) 249 (2): 1741–1743, MR 0109550, Zbl 0088.41201 , available at Gallica. A short research note announcing the results of the author on the uniqueness of solutions of the Navier-Stokes equations under the hypothesis of constant fluid velocity at infinity.
• Graffi, Dario (1981), Questioni sull'elettromagnetismo (in Italian), Napoli: Liguori editore, p. 247, ISBN 88-207-1136-2 . "Issues on electromagnetism" (English translation of the title) is a set of published lecture notes of a course held by Graffi in the years 1977–1978.
• Graffi, Dario (November 1999), Fabrizio, M.; Grioli, G.; Renno, P., eds., Opere scelte (in Italian), Bologna: C.N.R. – Gruppo Nazionale per la Fisica Matematica, pp. XXXII+458 . Dario Graffi's "Selected works", containing a choice of his research papers: the works are written in Italian, English and French and are reprinted in their original typographical form.

See also

• Gaetano Fichera
• Heat equation
• Ordinary differential equation
• Wave propagation

References

Biographical references

• Accademia delle Scienze di Torino (2013), Dario GRAFFI, Accademia delle Scienze di Torino, retrieved 22 June 2014 .
• Accademia Nazionale dei Lincei (2012), Annuario dell'Accademia Nazionale dei Lincei 2012 – CDX dalla Sua Fondazione (in Italian), Roma: Accademia Nazionale dei Lincei, p. 734 . The "Yearbook" of the renowned Italian scientific institution, including an historical sketch of its history, the list of all past and present members as well as a wealth of informations about its academic and scientific activities.
• Barbieri, Francesco; Taddei, Ferdinando (2006), L’Accademia di Scienze, Lettere e Arti di Modena dalle origini (1683) al 2005. Tomo I – La storia e i soci (in Italian), Modena: Mucchi Editore, p. 359, ISBN 88-7000-419-8 . The first part ("Tomo") of an extensive work on the "Accademia di Scienze, Lettere e Arti di Modena", reporting the history of the academy and biographies of members up to the year 2006.
• Consiglio Scientifico del G.N.F.M. (November 1999), "Dario Graffi", in Fabrizio, M.; Grioli, G.; Renno, P., Opere scelte (in Italian), Bologna: C.N.R. – Gruppo Nazionale per la Fisica Matematica, pp. XI–XXXII .

Scientific references

• Capitani, Ovidio; Capriz, Gianfranco; Caputo, Michele; Fabrizio, Mauro; Graffi, Sandro; Grioli, Giuseppe; Podio Guidugli, Paolo; Renno, Pasquale, eds. (2002), Nuovi progressi nella fisica matematica dall'eredità di Dario Graffi – Convegno Internazionale (Bologna, 24–27 maggio 2000), Atti dei Convegni Lincei 177, Roma: Accademia Nazionale dei Lincei, p. 304, ISBN 88-218-0868-8, ISSN 0391-805X . The proceedings of the international congress "New advances in mathematical physics from Dario Graffi's heritage", held in Bologna on May 24–27, 2000, at the Accademia delle Scienze dell'Istituto di Bologna, under the auspices of the Accademia Nazionale dei Lincei.
• Fabrizio, Mauro (1994), "Su alcune importanti ricerche di Dario Graffi", Atti e Memorie della Accademia Nazionale di Scienze Lettere e Arti di Modena, Serie VII (in Italian), X (1992–93): 23–27 . "On some important researches of Dario Graffi" (English translation of the title) is a short commemoration reviewing Graffi's contribution to continuum physics, specifically to elasticity, electromagnetism and the mathematical theory of hereditary phenomena.
• Franchi, Franca; Straughan, Brian (2002), "Convection, diffusion and pollution: the model of Dario Graffi", in Capitani, Ovidio; Capriz, Gianfranco; Caputo, Michele; Fabrizio, Mauro; Graffi, Sandro; Grioli, Giuseppe; Podio Guidugli, Paolo; Renno, Pasquale, Nuovi progressi nella fisica matematica dall'eredità di Dario Graffi – Convegno Internazionale (Bologna, 24–27 maggio 2000), Atti dei Convegni Lincei 177, Roma: Accademia Nazionale dei Lincei, pp. 257–265, ISBN 88-218-0868-8, ISSN 0391-805X .
• Nardini, Renato (1994), "Una sintesi dell'opera scientifica di Dario Graffi", Atti e Memorie della Accademia Nazionale di Scienze Lettere e Arti di Modena, Serie VII (in Italian), X (1992–93): 19–22 . "A synthesis of the scientific work of Dario Graffi" (English translation of the title) is a short commemorative review of Graffi's scientific contributions.