Homepage Florinda Capone

Present Position

Education and Professional Path

29.03.1990: Mathematics Degree, University of Naples “Federico II” (110/110 cum Laude).
1990-1994: PhD Program (“Dottorato di Ricerca”) in Mathematics, University of Naples Federico II.
11/1994-1995: Research Fellow of National Institute for Advanced Mathematics “Francesco Severi” (INdAM).
1995: Assistant professor (“Ricercatore Universitario”) in Mathematical Physics, University of Naples Federico II.
2000: Qualified as Associate professor in Mathematical Physics.
2001: Associate professor in Mathematical Physics, University of Naples Federico II.
1.11.2004Permanent Position as Associate Professor.
17.10.2014: Qualified as Full professor in Mathematical Physics (National Scientific Qualification ASN 2013).

Integrative Teaching and Student Service Activities

See the Undergraduate Teaching Activities page (in italian)

Committees

See the Committees page

 Scientific Activity as Research Director

  • Chief advisor for research grant: “Nonautonomous dynamical systems” (“Sistemi dinamici non autonomi”), University of Naples Federico II.
  • Tutor of Dr. V. De Cataldis, in PhD Program “Mathematical Sciences” (Dottorato di Ricerca in Scienze Matematiche), University of Naples Federico II.
  • Tutor of PhD thesis: “New stability results for reaction-diffusion models” (V. De Cataldis).

Research interests

  • Navier – Stokes equations for isothermal and non isothermal fluids, in bounded and unbounded domains
  • Thermal convection in clear fluids and in porous media
  • Reaction-diffusion models: qualitative analysis

Publications

See the publications page

Editorial

  • Guest-Editor (with P. Fergola, M. Gentile, G. Guerriero): Proceedings of the International Meeting “New Trends in Mathematical Physics”, in honour of the Salvatore Rionero 70th birthday. World Scientific Publishing Co. Pte. Ltd., Singapore (2004) ISBN: 981-256-077-7.
  • Guest- Editor (with R. Monaco, G. Mulone, M. Sammartino, T. Ruggeri): Special Issue on Waves and Stability in Continuous Media. Acta Applicandae Mathematicae, Vol. 132, Issue 1, August 2014. ISSN: 0167-8019 (Print), 1572-9023 (Online).

Scientific Projects

Principal Investigator
1999: “Metodi e problemi in Fisica matematica” within “Young Researches Project” (“Progetto Giovani Ricercatori”), University of Naples Federico II. Period: 12 months.
2003: “Mathematical Models for the Diffusion and Control of Pollutants in Porous Media” within “Scientific Research Projects” (“Progetti di Ricerca Scientifica”), L.R. n.5 of the Giunta Regionale della Campania Assessorato alla Ricerca Scientifica (2002). Period: 8 months.
2011: “Controllo e Stabilità di Processi Diffusivi nell’Ambiente” within  “Programma F.A.R.O (Finanziamento per l’Avvio di Ricerche Originali)” , University of Naples Federico II. Period: 18 months.
Member
1996: MIUR Prin 1996
Title: Modelli e metodi matematici per l’evoluzione dei fluidi e dei solidi ed applicazioni
National Coordinator: Prof. Salvatore Rionero
Coordinator of the Local Unit of Naples: Prof. Salvatore Rionero
2000: MIUR Prin 2000
Title (National): Problemi matematici non lineari di propagazione e stabilità nei modelli del continuo
National Coordinator: Prof. Tommaso Antonio Ruggeri
Title (Local Unit): Problemi di stabilità non lineare nei continui dissipativi
Coordinator of the Local Unit of Naples: Prof. Salvatore Rionero
2003: MIUR Cofin 2003
Title (National): Problemi Matematici Non Lineari di Propagazione e Stabilità nei Modelli del Continuo National
Coordinator: Tommaso Antonio Ruggeri
Title (Local Unit): Stabilità in energia nei continui dissipativi
Coordinator of the Local Unit of Naples: Prof. Salvatore Rionero
2003: GNFM Project
Title: Analisi qualitativa non lineare per continui dissipativi
Coordinator: Prof. Salvatore Rionero
2005: MIUR Prin 2005
Title (National): Propagazione non lineare e stabilità nei processi termodinamici del continuo
National Coordinator: Tommaso Antonio Ruggeri
Title (Local Unit): Stabilità nei processi diffusivo-convettivi nei multifluidi
Coordinator of the Local Unit of Naples: Prof. Salvatore Rionero
2005: Research Project 2005 (Istituto Nazionale di Alta Matematica)
Title: Controllo dei Processi Inquinanti nei Multifluidi e nei Mezzi Porosi
Principal Investigator: Prof. Salvatore Rionero
2014: Project within “Legge 5/2009 Regione Campania”
Title: Metodi Matematici per la modellizzazione di problemi di localizzazione e trasporto ottimo
Principal Investigator: Prof. A. Passarelli di Napoli
2014: Project MELISSA (Microwave Electronic Imaging Security Safety Access)
Cod. CUP. E61J10001090005
Ministry of Economic Development (MISE)
2015: Project WISCH (Work into Shopping Campania’s Home)
Entrustment for Research Industrial and Experimental Development (Progetto di Ricerca Industriale e Sviluppo Sperimentale)
Title: “Ricerca Sistemistica legata allo studio, sviluppo, integrazione e testing di sistemi complessi e algoritmi associati”
Cod. CUP B88C1400026007
2015: Project WISCH (Work into Shopping Campania’s Home)
Entrustment for Research Industrial and Experimental Development (Progetto di Ricerca Industriale e Sviluppo Sperimentale)
Title: “Interventi di potenziamento di sistema e di filiera della R&S di cui al .D. n. 54 del 26/06/2014”
Cod. CUP B68C14000270007

Scientific Associations

Participation in Conferences

  • “Workshop on Energy Methods in Free Boundary Problems of Continuum Mechanics” (Oviedo, Spagna, March 1994).
  • “Symposium on Trends in the Application of Mathematics to Mechanics” (STAMM2000), (National University of Ireland, 9-14 July 2000, Galway, Ireland).
  • “12th International Couette-Taylor Workshop”, (Evanston, IL USA, 6-8 September 2001).
  • “Continuum Mechanics and Diffusion” (Durham University, England, 2-3 March 2006).
  • “Workshop on PDE’s and Biomedical Applications” (Lisbon, Portugal – December 4-6, 2014).
  • Eight China – Italy Colloquium on Applied Mathematics (CICAM8)” (Beijin, China – September 21-24, 2016).
  • “VI International Conference on Waves and Stability in Continuous Media”, (Acireale Catania, May 1991).
  • “VII International Conference on Waves and Stability in Continuous Media”, (Bologna, October 1993).
  • “Riunione Scientifica del G.N.F.M.”, (Rome, October 1993).
  • “II International Workshop on Nonlinear Kinetic Theories and Mathematical Aspects of Hyperbolic Systems” (San Remo, September 1994).
  • “Convegno AIMETA” (Naples, Castel dell’Ovo, October 1995).
  • “VIII International Conference on Waves and Stability in Continuous Media”, (Palermo, October 1995).
  • “II Congresso Nazionale SIMAI: SIMAI 1996”, (Salice Terme, Pavia, May 1996).
  • “IX International Conference on Waves and Stability in Continuous Media”, (Bari, October 1997).
  • “3rd International Congress “Mathematics and Environment”, (Naples, October 1998).
  • “Assemblea Scientifico – Organizzativa del G.N.F.M.”, (Montecatini Terme, March 1999).
  • “X International Conference on Waves and Stability in Continuous Media”, (Vulcano, Messina, June 1999).
  • “XVI Congresso dell’ Unione Matematica Italiana”, (Naples, 13-18 September 1999).
  • “XI International Conference on Waves and Stability in Continuous Media” (Porto Ercole, Grosseto, 3-9 June 2001).
  • “Symposium on Trends in the Application of Mathematics to Mechanics” (STAMM2002), (Maiori, Salerno, 29 September – 4 October 2002).
  • “New Trends in Mathematical Physics” in honour of the Salvatore Rionero 70th birthday (Naples, 24-25 January 2003).
  • “XII International Conference on Waves and Stability in Continuous Media”, (Villa Simius, 1-7 June 2003).
  • “New Trends in Mathematical Physics” in memory of Pietro Benvenuti (Gallipoli, Lecce, 23-25 September 2004)
  • “XIII International Conference on Waves and Stability in Continuous Media”, (Acireale, Catania, 19-25 June 2005).
  • “Annual Scientific Meeting. Research Project Cofin : Nonlinear Mathematical Problems of Wave Propagation and Stability in Models of Continuous Media”, (Bressanone, 13-15 February 2006).
  • “Assemblea Scientifica Gruppo Nazionale per la Fisica Matematica” (Montecatini Terme, 6-8 April 2006).
  • “Third China Italy Colloquium on Applied Mathematics”, (University of Naples Federico II – Monte S. Angelo, Naples 16-19 October 2006).
  •  “XIV International Conference on Waves and Stability in Continuous Media”, (Scicli, Ragusa, 30 June – 6 July 2007).
  • “Workshop on Mathematical Models for Complex Systems”, (Cortona, 26-29 September 2007).
  • “Assemblea Scientifica G.N.F.M.” (Montecatini Terme, 11-13 October 2007).
  • “International Conference on New Trends in Fluid and Solid Models”. A Conference in honour of Brian Straughan on the occasion of his 60th birthday, (Vietri, Salerno, 28 February – 1 March 2008).
  • “Second International Conference on New Trends in Fluid and Solid Models”. A Conference in honour of Prof. Dario Graffi, (Vietri, Salerno, 19-21 March 2009).
  • “15th International Conference on Waves and Stability in Continuous Media” (WASCOM 2009). (Palermo (Italy), 28 June – 1 July 2009).
  • “Third International Conference on New Trends in Fluid and Solid Models”. A Conference in honour of Prof. M. Ciarletta, (Vietri, Salerno, March 2010).
  • “XVI International Conference on Waves and Stability in Continuous Media” (WASCOM 2011), (Brindisi (Italy). 12-18 June 2011)
  • “4th International Conference on New Trends in Fluid and Solid Models”, (Vietri sul Mare (Salerno, Italy) April 4th – 6th, 2013)
  • “XVII International Conference on WAVES AND STABILITY IN CONTINUOUS MEDIA” (In honour of prof. S. Rionero in the occasion of his 80th birthday) (Levico TN June 17, 2013 – June 21, 2013).
  • “Seventh Italian-Chinese Colloquium of Applied Mathematics” (Palermo, Italy – September 8, 2014 – September 11, 2014).
  • “XVIII International Conference on Waves and Stability in Continuous Media -2015” (Cetraro (Cosenza), Italy – June 1, 2015 – June 5, 2015).
  • “XIX International Conference on Waves and Stability in Continuous Media -2015” (Bologna, Italy, – June 12, 2017 – June 16, 2017).

Invited talks

  • ”Risultati di stabilità relativi al modello di Forchheimer nei mezzi porosi per fluidi con viscosità dipendente dalla temperatura”, Politecnico di Torino (18-20 June 1997).
  • “On the onset of convection in porous media: temperature depending viscosity”, “XVI Congresso dell’ Unione Matematica Italiana”, (Naples, 13-18 September 1999).
  • “Problemi di convezione in presenza di gradiente orizzontale di temperatura”, Riunione Scientifica su “Analisi qualitativa nei modelli fluidi”, (Catania, February 2000).
  • “Influenza della viscosità sulla convezione”, Università di Bari (24-25 March 2000).
  • “Convezione naturale con gradiente orizzontale di temperatura”, Università di Bari (24-25 March 2000).
  • “A nonlinear L^2-stability analysis for a spatial ecology model based on Luckinbill’s experiment” (Durham University, England, “Continuum Mechanics and Diffusion”, 2-3 March 2006).
  • “Diffusion driver stability and Turing effect for predator-prey model with Beddington-De Angelis functional response”, “Workshop on Mathematical Models for Complex Systems”, (Cortona, 26-29 September 2007).
  • “Problema di Bénard: recenti risultati di stabilità” “Assemblea Scientifica G.N.F.M.” (Montecatini Terme, 11-13 October 2007).
  • “Rionero’s critical perturbations method via weighted energy for stability of convective motions in anysotropic porous media”, “International Conference on New Trends in Fluid and Solid Models” (Vietri, Salerno, 28 February – 1 March 2008).
  • “Asymptotic and other properties of binary reaction-diffusion systems of P.D.Es.” “2nd International Conference on New Trends in Fluid and Solid Models” (Vietri, Salerno, 19-21 March 2009).
  • “Penetrative convection in strongly anisotropic porous media”, 3rd International Conference on New Trends in Fluid and Solid Models” (Vietri, Salerno, 18-20 March 2010).
  • “On the stability of rotating porous media, via a new approach, with and without inertia term”, 4th International Conference on New Trends in Fluid and Solid Models (Vietri sul Mare (Salerno, Italy) April 4th – 6th, 2013).
  • “Onset of convection for ternary fluid mixtures saturating horizontal porous layers with large pores, under the action of Brinkman law” Seventh Italian-Chinese Colloquium of Applied Mathematics (Palermo, Italy – September 8, 2014 – September 11, 2014).
  • “Onset of convection for ternary fluid mixtures saturating horizontal porous layers” Workshop on PDE’s and Biomedical Applications (Lisbon, Portugal – December 4-6, 2014).
  • “Onset of convection in magneto-hydrodynamics porous media: absence of subcritical instabilities and global nonlinear stability” XVIII International Conference on Waves and Stability in Continuous Media -2015” (Cetraro (Cosenza), Italy – June 1, 2015 – June 5, 2015).
  • “Convection in magnetohydrodynamic porous media”, Eighth China-Italy Colloquium on Applied Mathematics (CICAM8) (Beijing, China, September 21-24, 2016).
  • “Magneto-Hydrodynamic Convection in Porous Media: the effect of Vadasz inertia term” XIX Conference on Waves and Stability in Continuous Media (Bologna, Italy, June 12-16, 2017).

Organizing activities (Conferences and Meetings)

  • “Symposium on Trends in the Application of Mathematics to Mechanics” (STAMM2002), (Maiori, Salerno, 29 September – 4 October 2002).
  • “New Trends in Mathematical Physics” in honour of the Salvatore Rionero 70th birthday (Naples, 24-25 January 2003).
  • “XII International Conference on Waves and Stability in Continuous Media”, (Villa Simius, June 2003).
  • “Third China Italy Colloquium on Applied Mathematics”, (Naples, 16-19 October 2006).
  • “XIV International Conference on Waves and Stability in Continuous Media”, (Scicli, Ragusa, 30 June – 6 July 2007).
  • “XVI International Conference on Waves and Stability in Continuous Media” (WASCOM 2011), (Brindisi (Italy), 12-18 June 2011).
  • Workshop “Recenti Progressi nella Teoria della Termodinamica e della Stabilità” (Naples 18-19 October 2013), within the Project “Controllo e Stabilità di Processi Diffusivi nell’Ambiente” (Principal Investigator: Florinda Capone) within “Programma F.A.R.O. (Finanziamento per l’Avvio di Ricerche Originali)”,  University of Naples Federico II (2011 – date)
  • “Seventh Italian-Chinese Colloquium of Applied Mathematics” (Palermo, Italy – September 8, 2014 – September 11, 2014).