Curriculum Vitae - Francesco Fanelli

Institut de Mathematiques de Jussieu-Paris Rive Gauche

Universite Paris-Diderot – Paris 7

Campus des Grands Moulins

Personal informations

Date of birth: January 24th, 1984

Place of birth: Chiaravalle (AN), Italy

Citizienship: Italian

Present position

Institut de Mathematiques de Jussieu-Paris Rive Gauche, Universite Paris 7 Diderot

Post-doctoral research position September 2013 - August 2014

(“Instabilities in Hydrodynamics” project of the Fondation Sciences Mathematiques de Paris, head

of the project: Christophe Lacave)

Supervisor of the post-doc: Prof. Isabelle Gallagher

Previous positions

Basque Center for Applied Mathematics

Post-doctoral research position September 2012 - August 2013

(ERC Advanced Grant FP7-246775 NUMERIWAVES, head of the project: Prof. Enrique Zuazua)

Supervisor of the post-doc: Prof. Enrique Zuazua

Universite Paris-Est Creteil

Attache Temp. d’Enseignement et de Recherche September 2011 - August 2012

(Exercise lecturer for different Bachelor’s degree courses)

Education

Scuola Internazionale Superiore di Studi Avanzati & Universite Paris-Est

Doctor Philosophiæ Degree, cotutorial thesis November 2008 - May 2012

Thesis: Mathematical analysis of models of non-homogeneous fluids and of hyperbolic equations with

low regularity coefficients.

Supervisors: Prof. Ferruccio Colombini, Prof. Raphael Danchin, Prof. Andrei Agrachev.

Referees: Prof. Isabelle Gallagher, Prof. Nicolas Lerner.

Other members of the Defence Commettee: Prof. Stefano Bianchini, Prof. Marco Cannone, Prof.

Gianni Dal Maso.

Universita degli Studi di Trieste

Laurea Magistrale in Matematica October 2006 - October 2008

(Master’s Degree in Mathematics)

Mark: 110/110 Cum Laude

Thesis: Para-differential calculus and its applications to hyperbolic problems

Advisor: Prof. Ferruccio Colombini

Universita degli Studi di Pisa

Laurea Triennale in Matematica September 2003 - September 2006

(Bachelor’s Degree in Mathematics)

Mark: 110/110 Cum Laude

Thesis: The Cauchy-Kovalevska Theorem

Advisor: Prof. Ferruccio Colombini

Additional diplomas

Ministere de l’Enseignement Superieur et de la Recherche (FRANCE)

Qualification – Maıtre de Conferences Campagne 2013

Sections 25 (Mathematiques) and 26 (Mathematiques appliquees et applications des mathematiques)

Scuola Internazionale Superiore di Studi Avanzati

Diploma Percorso Formativo Comune October 2008

(Diploma in Mathematics awarded by SISSA for Master’s degree student; on a merit base)

Fellowships and awards

Institut de Mathematiques de Jussieu - UMR 7586, Universite Paris 7 Diderot

Post-doctoral fellowship September 2013 - August 2014

(“Instabilities in Hydrodynamics” project of the Fondation Sciences Mathematiques de Paris)

Basque Center for Applied Mathematics

Post-doctoral fellowship September 2012 - August 2013

ERC Advanced Grant “NUMERIWAVES”, Principal Investigator Prof. Enrique Zuazua

Universita Italo Francese/Universite Franco Italienne

Programma Vinci 2010 for cotutorial thesis November 2010

Scuola Internazionale Superiore di Studi Avanzati

Ph.D. fellowship November 2008 - October 2011

Scuola Internazionale Superiore di Studi Avanzati

“Percorso Formativo Comune” fellowship October 2006 - September 2008

Istituto Nazionale di Alta Matematica

Bachelor’s degree fellowship October 2003 - September 2006

Comitato Olimpico Nazionale Italiano & Panathlon International - Club Ancona

“Studente Atleta” prize October 2001

Publications

1. “The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients”

(with Ferruccio Colombini, Daniele Del Santo and Guy Metivier) – submitted (2014)

2. “Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial

data”

(with Xian Liao) – submitted (2014)

3. “The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces”

(with Xian Liao) – submitted (2014)

4. “Weak observability estimates for 1-D wave equations with rough coefficients”

(with Enrique Zuazua)

Annales de l’Institut Henri Poincare (C) Analyse Non Lineaire, to appear (2014),

http://dx.doi.org/10.1016/j.anihpc.2013.10.004

5. “A note on complete hyperbolic operators with log-Zygmund coefficients”

(with Ferruccio Colombini, Daniele Del Santo and Guy Metivier)

in “Fourier Analysis - Pseudo-differential Operators, Time-Frequency Analysis and Partial Differ-

ential Equations”, M. Ruzhansky and V. Turunen eds., Trends in Mathematics, Birkhauser, Basel

(2014), p. 47-72

6. “A well-posedness result for hyperbolic operators with Zygmund coefficients”

(with Ferruccio Colombini, Daniele Del Santo and Guy Metivier)

Journal de Mathematiques Pures et Appliquees (9), 100(4) (2013), p. 455-475

7. “Time dependent loss of derivatives for hyperbolic operators with non-regular coefficients”

(with Ferruccio Colombini, Daniele Del Santo and Guy Metivier)

Communications in Partial Differential Equations, 38(10) (2013), p. 1791-1817

8. “Conservation of geometric structures for non-homogeneous inviscid incompressible fluids”

Communications in Partial Differential Equations, 37(9) (2012), p. 1553-1595

9. “The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces”

(with Raphael Danchin)

Journal de Mathematiques Pures et Appliquees (9), 96(3) (2011), p. 253-278

10. “A note on non-homogeneous hyperbolic operators with low regularity coefficients”

(with Ferruccio Colombini)

Rendiconti dell’Istituto di Matematica dell’Universita di Trieste, vol. 42 suppl. (2010), p. 1-25

Presentations at conferences and workshops

“A singular limit problem for viscous compressible fluids in presence of capillarity”

PDEs: Analysis, Control, Numerics and Applications, Bilbao (Spain), June 2014 (invited)

“Wave operators with non-Lipschitz coefficients: energy and observability estimates”

Journee Jeunes Controleurs 2014, Paris (France), February 2014 (invited)

“Observability estimates for 1-D wave equations with non-Lipschitz coefficients”

Linear and Nonlinear Hyperbolic Equations, Pisa (Italy), July 2013 (invited)

“Wave operators with non-Lipschitz coefficients: energy and observability estimates”

TAMTAM XIII, Algiers (Algeria), April 2013 (invited, plenary speaker)

“Some models of non-homogeneous inviscid fluids”

Journees DYNAMO 2013, Orleans (France), March 2013 (invited)

“Some models of non-homogeneous inviscid fluids”

Proprieta geometriche microlocali delle equazioni differenziali alle derivate parziali, Cesena (Italy),

March 2013 (invited)

“Persistence of geometric structures for inviscid incompressible fluids”

Instabilities in Hydrodynamics (Institut Henri Poincare), Paris (France), August 2012 (invited)

“On the well-posedness for hyperbolic operators with Zygmund coefficients”

Fourier Analysis and Pseudo-Differential Operators (Aalto University), Helsinki (Finland), June

2012

“Persistence of geometric structures for the incompressible Euler system”

Modern Aspects of Phase Space Analysis (Technische Universitat Bergakademie Freiberg), Freiberg

(Germany), February 2012 (invited)

“Paradifferential calculus and its applications to hyperbolic problems”

Geometric Flows and Geometric Operators (Centro di Ricerca Matematica Ennio De Giorgi, in

collaboration with INdAM), Pisa (Italy), June 2009

Delivered seminars

“Propagation des ondes dans des milieux fortement non-homogenes: caractere bien pose et controle”

Universite de Rennes 1, Rennes (France), April 2014 (invited)

“Operateurs des ondes a coefficients non-Lipschitz: estimations d’energie et d’observabilite”

Conservatoire National des Arts et Metiers, Paris (France), February 2014 (invited)

“Wave operators with non-Lipschitz coefficients: energy and observability estimates”

Universita degli Studi di Trieste, Trieste (Italy), March 2013

“Some models of non-homogeneous inviscid fluids”

Seminar on Partial Differential Equations (Mathematical Institute of the Academy of Sciences of

the Czech Republic), Prague (Czech Republic), March 2013 (invited)

“Wave operators with non-Lipschitz coefficients: energy and observability estimates”

Seminaire Equations aux derivees partielles non-lineaires (Universite Paris 13), Paris (France),

February 2013 (invited)

“Wave operators with non-Lipschitz coefficients: energy and observability estimates”

Seminaire Analyse non-lineaire et EDPs (Universite Paris 6, Universite Paris 7, Ecole Normale

Superieure), Paris (France), February 2013 (invited)

“Persistence of geometric structures for inviscid incompressible fluids”

Fluid Mechanics Seminar (ICMAT – Instituto de Ciencias Matematicas), Madrid (Spain), December

2012 (invited)

“On the well-posedness for hyperbolic operators with Zygmund coefficients”

Technische Universitat Bergakademie Freiberg, Freiberg (Germany), December 2012 (invited)

“Analysis of models of non-homogeneous fluids and hyperbolic equations”

BCAM Seminar (Basque Center for Applied Mathematics), Bilbao (Spain), May 2012 (invited)

“Second order strictly hyperbolic operators with low regularity coefficients”

GRK Seminar (Karlsruhe Institut of Technology), Karlsruhe (Germany), May 2012 (invited)

“On the density-dependent incompressible Euler system in Besov spaces”

Seminaire de Physique Mathematique – EDP (Institut de Mathematiques de Bordeaux), Bordeaux

(France), November 2011 (invited)

Other scientific activities

Bulletin of the London Mathematical Society

Referee From December 2013

Journal of Mathematical Physics

Referee From April 2013

Mathematical Reviews – American Mathematical Society

Reviewer From May 2012

Istituto Nazionale di Alta Matematica

Member of GNAMPA From January 2010

Research visits

Universite Bordeaux 1

Guest of G. Metivier and M. Paicu January 2014

Universita di Trieste

Invited by D. Del Santo March 2013

Mathematical Institute of the Academy of Sciences of the Czech Republic

Invited by E. Feireisl March 2013

Universite Paris 7 - Diderot & Fondation des Sciences Mathematiques de Paris

Invitation within the project “Instabilities in

Hydrodynamics”

February 2013

ICMAT - Instituto de Ciencias Matematicas

Invited by A. Castro and D. Cordoba December 2012

Technische Universitat Bergakademie Freiberg

Invited by C. Jah and M. Reissig December 2012

Universite Bordeaux 1

Invited by M. Paicu November 2011

Universite Paris-Est Creteil

Cotutorial Ph.D. thesis From October 2010 to August 2012

Universita di Pisa

Invited by F. Colombini October 2008 – April 2014

Other dissemination activities

“Euler aux prises avec les variations de densite” (divulgation article), with Raphael Danchin

Mathematiques de la planete Terre 2013 (french blog of the international http://www.mpe2013.org),

September 2013 (http://mpt2013.fr/euler-aux-prises-avec-les-variations-de-densite/)

“On the density-dependent incompressible Euler system in Besov spaces” (poster)

Mathflows 2012, Porquerolles (France), October 2012

“On the density-dependent incompressible Euler system in Besov spaces” (poster)

EVEQ 2012 (Charles University), Prague (Czech Republic), July 2012

Other conferences and workshops attended (without presentation), outside courses

“First joint international meeting RSME-SCM-SEMA-SIMAI-UMI”, Bilbao (Spain), July 2014

“Mathematical Hydrodynamics 2014”, Paris (France), June 2014

“Journees EDP 2014 - Analyse des equations aux derivees partielles”, Roscoff (France), June 2014

“Control of PDEs”, Paris (France), April 2014

“MCPIT 2013: Modelling, Control and Inverse Problems for the Planet Earth in all its states”,

Paris (France), November 2013

“Mathematical aspects of fluid-structure interactions”, Paris (France), November 2013

“Colloque EDP-Normandie 2013”, Caen (France), October 2013

“Journee Parametrisation et Turbulence Geophysique”, Paris (France), September 2013

“Partial differential equations, optimal design and numerics”, Benasque (Spain), August 2013

“Advanced 3D numerical modeling in Geophysics” – INRIA-BCAM workshop, Biarritz (France),

October 2012

“Journees EDP 2012 - Analyse des equations aux derivees partielles”, Biarritz (France), June 2012

“Inaugural conference of the Laboratory Fibonacci”, Pisa (Italy), March 2012

“Journee EDP”, Creteil (France), January 2012

“Journees Lions-Magenes”, Paris (France), December 2011

“Perspectives in Phase Space Analysis of PDE’s”, Bertinoro (Italy), September 2011

“Journees EDP 2011 - Analyse des equations aux derivees partielles”, Biarritz (France), June 2011

“Journee EDP - Equations d’evolution”, Creteil (France), June 2011

“Asymptotic Properties of Solutions to Hyperbolic Equations”, London (UK), March 2011

“Problemes aux limites elliptiques a coefficients peu-reguliers”, course of Universite Paris-Sud, Orsay

(France), academic year 2010-2011

“International Summer School on Mathematical Fluid Dynamics”, Levico Terme (Italy), June 2010

“Premieres Journees Scientifiques du Laboratoire Euro Maghrebin de Mathematiques et de leurs

Interactions”, Tipaza (Algeria), June 2010

“Journees EDP 2010”, Port d’Albret (France), June 2010

“Linear and Nonlinear Hyperbolic Equations”, Pisa (Italy), February 2010

“Advanced Mathematical Aspects of Navier-Stokes Equation”, course of Doctoral School in Envi-

ronmental and Industrial Fluid Mechanics, Trieste (Italy), academic year 2009-2010

“Regularity for non-linear PDEs”, Pisa (Italy), September 2009

“Seventh meeting on Hyperbolic Conservation Laws and Fluid Dynamics: recent results and research

perspectives”, Trieste (Italy), September 2009

“Geometric Flows and Geometric Operators”, Pisa (Italy), May-July 2009

“Introduction to Quantum Dynamics”, course of SISSA, Trieste (Italy), academic year 2006-2007

“Meeting INdAM”, Roma (Italy), January 2006

Languages

Italian (native speaker)

English (fluent; TOEIC test on January 2012; mark: 845/990 – blue certificate)

French (fluent)

Spanish (fluent)

Computer skills

Good knowledge of Ubuntu (Linux) operating system

Good knowledge of LATEXdocument markup language

Basic knowledge of C/C++ programming language

Basic knowledge of HTML markup language

Basic knowledge of Windows and Apple operating systems, and Microsoft Office tools