Short Vita of Marco Di Francesco - Università degli Studi dell`Aquila

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Short Vita of Marco Di Francesco
(Updated September 2016)
General information
Born in Pescara (Italy), on 13/05/1975.
Address:
1. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università degli Studi dell’Aquila, Via Vetoio
1, 67100 Coppito, L’Aquila.
email: [email protected]
Web: http://people.disim.univaq.it/~mdifrance/index.htm
Current position
Professore Associato (Associate Professor) SSD MAT05 (Analisi Matematica),
Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila.
Previous positions, career, and education
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Jan 1 2005 – Sep 1 2011 and Oct 1 2014 - May 2015: Ricercatore (Lecturer) in Mathematics at the University
of L’Aquila.
Oct 1 2012 – Oct 1 2014: Reader in Applied Mathematics at the Department of Mathematical and Statistical
Sciences, University of Bath.
Sep 1 2011 – Sep 30 2012: “Ramon Y Cajal” fellow, program of the Spanish Minister of Science and
Innovation, Universitat Autonoma de Barcelona (Spain).
Gen 1 2009 – Dec 31 2009: Visiting Senior Research Associate, Department of Applied Mathematics and
Theoretical Physics (DAMTP), Centre for Mathematical Sciences, University of Cambridge.
2005: Visiting Research scientist at the Johann Radon Institute for Computational and Applied Mathematics
(RICAM), Austrian Academy of Sciences (OEAW), Linz, Austria.
2004: Visiting post-doc at the Wolfgang Pauli Institute (WPI) in Vienna, Austria.
2004: 'HYKE' (Hyperbolic and kinetic equations, EU training network) pre-doc fellowship, Universitat
Autonoma de Barcelona (Spain).
June 2004: PhD in Mathematics at the University of Roma "Tor Vergata".
1999: Degree in Mathematics at the University of L’Aquila with mark 110/110 “cum laude”.
National academic achievements
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Dec 2013 – Gen 2014: Abilitazione Nazionale (Italian national qualification) as Full and Associate
Professor in the areas
o A1/03 Analisi Matematica, Probabilità e Statistica Matematica
o A1/04 Fisica Matematica.
Funded research projects (as PI)
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2012 – 2016: FP7 People: Marie Curie Career Integration Grant, Ref. 321957 "DifNonLoc - Diffusive
Partial Differential Equations with Nonlocal Interaction in Biology and Social Sciences"
Marco Di Francesco – Short Vita
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2011– 2012: MICINN-RYC (subprograma "Ramon Y Cajal") "Partial Differential Equations in
Biology, Medicine and Social Sciences". Ref. RYC-2010-06412.
2012: ESF (European Science Foundation) funding for th organization of an ESF Research Conference.
Title: "Applied Partial Differential Equations in Physics, Biology and Social Sciences: classical and
modern perspectives", Venue: Centre de Recerca Matematica, Barcelona, Period: 2-7 Sep 2012
2010: GNAMPA (Italian group of Analysis, Probability, and Applications) mini-project: "Equazioni di
trasporto applicate alla fisica, alla biologia e alle scienze sociali".
Publications:
Submitted Preprints:
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M. Di Francesco, S. Fagioli, and M. D. Rosini, Deterministic particle approximation of scalar conservation
laws (2016)
Published or forthcoming articles in refereed journals:
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M. Di Francesco, S. Fagioli, M. D. Rosini, and G. Russo, Follow-the-leader approximations of macroscopic
models for vehicular and pedestrian flows – to appear as a book chapter on “Active Particles, Volume 1: Theory,
Models, Applications”, to be published in the Book Series "Modelling and Simulation in Science Engineering and
Technology", Birkhauser-Springer (Boston).
M. Di Francesco, S. Fagioli, M. D. Rosini, and G. Russo, Deterministic particle approximation of the
Hughes model in one space dimension, to appear on “Kinetic and Related Models”.
M. Di Francesco, S. Fagioli, and M. D. Rosini, Many particle approximation for the Aw-Rascle-Zhang
second order model for vehicular traffic, to appear on “Mathematical Biosciences and Engineering”.
M. Di Francesco and S. Fagioli, A nonlocal swarm model for predators–prey interactions - Mathematical
Models and Methods in Applied Sciences, 26 (319), 319-355 (2016).
J. A. Carrillo, M. Di Francesco, and G. Toscani, Condensation phenomena in nonlinear drift equations,
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XV, 145-171 (2016).
M. Di Francesco and M. D. Rosini, Rigorous derivation of nonlinear scalar conservation laws from followthe-leader type models via many particle limit - Archive for rational mechanics and analysis, 217 (3), 831-871
(2015).
G. A. Bonaschi, J. A. Carrillo, M. Di Francesco, and M. A. Peletier, Equivalence of gradient flows and
entropy solutions for singular nonlocal interaction equations in 1D- ESAIM - Control, Optimisation and
Calculus of Variations, 21 (2), 414-441 (2015).
M. Di Francesco, M. Fornasier, J.-C. Hütter, and D. Matthes, Asymptotic Behavior of Gradient Flows
Driven by Nonlocal Power Repulsion and Attraction Potentials in One Dimension- SIAM Journal on
Mathematical Analysis, 46 (6), 3814–3837 (2014).
M. Burger, M. Di Francesco, P. A. Markowich, and M.-T. Wolfram, Mean field games with nonlinear
mobilities in pedestrian dynamics - Discrete and Continuous Dynamical Systems - B, 19, 1311-1333 (2014).
M. Di Francesco, and D. Matthes, Curves of steepest descent are entropy solutions for a class of degenerate
convection-diffusion equations - Calc. Var. PDEs - 50, no. 1-2, 199–230 (2014).
M. Di Francesco, and S. Fagioli, Measure solutions for nonlocal interaction PDEs with two species Nonlinearity 26, 2777-2808 (2013).
M. Burger, M. Di Francesco, and M. Franek, Stationary states of quadratic diffusion equations with longrange attraction - Commun. Math. Sci. 11, no. 3, 709–738 (2013).
D. Amadori, and M. Di Francesco, The one-dimensional Hughes model for pedestrian flow: Riemann--type
solutions - Acta Mathematica Scientia 32 (1), 259-280 (2012).
J. A. Carrillo, M. Di Francesco, A. Figalli, T. Laurent, and D. Slepcev, Confinement in nonlocal
interaction equations - Nonlinear Analysis 75, 550–558 (2012).
J. A. Carrillo, M. Di Francesco, A. Figalli, T. Laurent, and D. Slepcev, Global-in-time weak measure
solutions and finite-time aggregation for nonlocal interaction equations - Duke Mathematical Journal, 156 (2),
229-271 (2011).
M. Di Francesco, P. A. Markowich, J.-F. Pietschmann, and M.-T. Wolfram, On the Hughes' model for
pedestrian flow: The one-dimensional case - Journal of Differential Equations, 250 (3), 1334-1362 (2011).
M. Di Francesco and M. Twarogowska, Asymptotic stability of constant steady states for a 2 x 2 reaction-diffusion system arising in cancer modelling - Mathematical and Computer modelling, 53 (7-8), 1457-1468
(2011).
Marco Di Francesco – Short Vita
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18. M. Burger, M. Di Francesco, J.-F. Pietschmann, and B. Schlake, Nonlinear Cross-Diffusion with Size
Exclusion - SIAM J. Math. Anal. 42 (6), 2842-2871 (2010).
19. M. Di Francesco, A. Lorz, and P. A. Markowich, Chemotaxis fluid coupled model for swimming bacteria
with nonlinear diffusion: global existence and asymptotic behavior - Discrete and Continuous Dynamical
Systems (A), 28 (4), 1437--1453 (2010).
20. M. Di Francesco and D. Donatelli, Singular convergence of nonlinear hyperbolic chemotaxis systems to
Keller-Segel type models, Discrete and Continuous Dynamical Systems (B), 13 (1), 79-100 (2010).
21. M. Di Francesco and J. Rosado, Fully parabolic Keller-Segel model for chemotaxis with prevention of
overcrowding, Nonlinearity 21, 2715–2730 (2008).
22. M. Di Francesco, K. Fellner, and P. A. Markowich, The entropy dissipation method for spatially
inhomogeneous reaction-diffusion type systems, Proc. R. Soc. A 464, 3273-3300 (2008).
23. M. Burger and M. Di Francesco, Large time behavior of nonlocal aggregation models with nonlinear
diffusion, Networks and Heterogeneous Media, 3 (4), 749-785 (2008).
24. M. Di Francesco, K. Fellner, and H. Liu, A non-local conservation law with nonlinear "radiation"
inhomogeneity, J. Hyperbolic Differ. Equ. 5, no. 1, 1-23 (2008).
25. M. Di Francesco, and M. Wunsch, Large time behavior in Wasserstein spaces and relative entropy for
bipolar drift-diffusion-Poisson models, Monatsh. Math. 154, 39-50 (2008).
26. M. Di Francesco, Initial value problem and relaxation limits of the Hamer model for radiating gases in
several space variables, NoDEA Nonlinear Differential Equations Appl. 13, no. 5-6, 531-562 (2007).
27. J. A. Carrillo, M. Di Francesco, and G. Toscani, Strict contractivity of the 2-Wasserstein distance for the
porous medium equation by mass-centering, Proc. Amer. Math. Soc. 135, 353-363 (2007).
28. J. A. Carrillo, M. Di Francesco, and M. P. Gualdani, Semidiscretization and long-time asymptotics of
nonlinear diffusion equations, Commun. Math. Sci. 5, 21-53 (2007).
29. M. Burger, M. Di Francesco, and Y. Dolak-Struss, The Keller-Segel model for chemotaxis with prevention
of overcrowding: linear vs. nonlinear diffusion, SIAM J. Math. Anal. 38, 1288-1315 (2006).
30. J. A. Carrillo, M. Di Francesco, and C. Lattanzio, Contractivity of Wasserstein metrics and asymptotic
profiles for scalar conservation laws, Journal of Differential Equations, 231 (2), 425-458 (2006).
31. M. Di Francesco and C. Lattanzio, Optimal L1 decay rates to diffusion waves for the Hamer model of
radiating gases, Appl. Math. Lett. 19, no. 10, 1046-1052 (2006).
32. J. A. Carrillo, M. Di Francesco, and G. Toscani, Intermediate asymptotics beyond homogeneity and selfsimilarity: long time behavior for nonlinear diffusions, Archive for Rational Mechanics and Analysis, 180 (1),
127-149 (2006).
33. M. Di Francesco and C. Lattanzio, Diffusive relaxation 3x3 model for a system of viscoelasticity, Asymptotic
Analysis, IOS Press, 40 (3,4), 235-253 (2004).
34. M. Di Francesco and P. Marcati, Singular convergence to nonlinear diffusion waves for solutions to the
Cauchy problem for the Compressible Euler equations with damping, Mathematical Models and Methods in
Applied Sciences. Vol. 12, n. 9, 1317-1336 (2002).
Conference proceedings and review papers:
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M. Di Francesco, (Review paper) Scalar conservation laws seen as gradient flows: known results and new
perspectives - Submitted preprint
M. Burger, M. Di Francesco, P. A. Markowich, and M.-T. Wolfram, On a mean field game optimal control
approach modeling fast exit scenarios in human crowds, Proceedings of the IEEE Conference on Decision and
Control, 52nd IEEE Conference on Decision and Control, 3128-3133 (2013).
J. A. Carrillo, M. Di Francesco, and C. Lattanzio, Contractivity and asymptotics in Wasserstein metrics for
viscous nonlinear scalar conservation laws, Bollettino U.M.I. (8) 10-B, 277-292 (2007).
M. Di Francesco and P. A. Markowich, Entropy dissipation and Wasserstein metric methods for the Viscous
Burgers' equation: convergence to diffusive waves, Partial differential equations and inverse problems, 145165, Contemp. Math., 362, Amer. Math. Soc., Providence, RI, (2004).
Organised conferences, seminars, and mini simposia
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Organiser of the GSSI Conference “Collective dynamics in gradient flows and entropy driven
structures”. L’Aquila June 1-5 2015.
Organiser of a minisimposium at the SIMAI 2014, Taormina, July 2014, title: “Discrete and continuous models
for pedestrian movements”.
Marco Di Francesco – Short Vita
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Organiser of the Spring School “Microscopic descriptions and mean-field equations in physics and social
sciences”, University of Bath, 12-16 May 2014.
Co-organizer of the Ki-Net conference “Collective Behavior: Macroscopic versus Kinetic Descriptions”.
19 – 23 May, 2014. Imperial College London.
2013-2014 Organiser of the weekly series “Analysis Seminar” at the University of Bath (with Dr. Roger
Moser).
Chair of the ESF (European Science Foundation) Research Conference “Applied Partial Differential
Equations in Physics, Biology and Social Sciences: classical and modern perspectives”, Centre de
Recerca Matematica, Barcelona (Spain) September 2-7 2012.
Organiser of a minisimposium at the SIMAI 2010, Cagliari, June 2010, title: “Nonlinear Transport PDEs in
Biology and Physics: Asymptotics and Entropies”.
Co-Organiser of the LLP (EC - Lifelong Learning Programme) MathMods Erasmus Intensive Programme,
L’Aquila, April-May 2010.
Co-Organiser of the LLP (EC - Lifelong Learning Programme) MathMods Erasmus Intensive Programme,
L’Aquila, 7-19 September, 2009.
Organiser of the ICMS (International Centre for Mathematical Sciences) conference “Kinetic and
Mean-field models in the Socio-Economic Sciences”, July 2009, ICMS Edinburgh, Scotland.
Co-Organiser of the LLP (EC - Lifelong Learning Programme) Intensive Programme (IP) on “Mathematical
Models in Life and Social Sciences”, L’Aquila, July 2008.
Organiser of the Two-weeks intensive period "Multiphase models, optimal transportation and entropy-based
PDE's in image processing and other applied fields", Vienna - Wolfgang Pauli Institute – June 11-22 2007.
Organiser and member of the scientific committee of the WPI (Wolfgang Pauli Institue) Thematic Program on
“Optimal transportation structures, gradient flows and entropy methods for Applied PDEs (2007)” , Wolfgang
Pauli Institute di Vienna (WPI) , April – September 2007.
Selected invited talks
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Invited talk at the Workshop Workshop on "Nonlocal Nonlinear Partial Differential Equations and
Applications", Anacapri, September 14-18 2015.
Invited short talk at the XX Congresso della Unione Matematica Italiana, Siena, 7-12 Sep 2015.
Invited talk at the special session on Mean-field models and control of multi-agent systems at the 13th
Viennese Workshop on Optimal Control and Dynamic Games, Vienna (Austria), May 13th - May 16th, 2015.
Invited speaker at the ICMS Workshop “Gradient flows: from theory to application” - Apr 20-24, 2015 - ICMS
Edinburgh.
Invited speaker at the Banff workshop “Entropy Methods, PDEs, Functional Inequalities, and Applications”
(14w5109), Banff International Research Station, Banff, Canada, 29 June – 4 July, 2014.
Seminario su invito all’Applied PDEs seminar - Applied Mathematics and Mathematical Physics section,
Imperial College, Londra (UK), 26 March 2014.
Invited speaker at the conference on Mathematical topics in Kinetic Theory. University of Cambridge, 17-21
June 2013.
Invited speaker at the Banff workshop “Partial differential equations in the social and life science: emergent
challenges in modeling, analysis, and computations”, Banff International Research Station, Banff (Canada), 31
March – 5 April, 2013.
Invited speaker at the Ki-Net conference “Transport Models for Collective Dynamics in Biological Systems”,
15 – 19 January, 2013, North Carolina State University, Department of Mathematics.
Invited speaker at the MFO workshop “Interplay of Analysis and Probability in Physics”, Mathematisches
Forschungsinstitut Oberwolfach, 22-28 January, 2012.
Invited speaker at the UIMP Summer School in Santander “Frontiers of Mathematics and Applications”,
August 2011.
Invited seminar at the Program “Partial Differential Equations in Kinetic Theories”, Isaac Newton Institute,
Cambridge (UK), 16 August - 22 December 2010,
Nited speaker at the BIRS Workshop on Nonlinear Diffusions and Entropy Dissipation: From Geometry to
Biology, 9-14 May 2010, Banff, Canada.
Invited speaker at the IPAM Optimal Transport Reunion Conference I, UCLA Conference Centrer At Lake
Arrowhead, 6-11 December, 2009.
Inited speaker at the workshop “Aspects of Optimal Transport in Geometry and Calculus of Variations”,
IPAM, UCLA, 31 March – 4 April 2008.
Marco Di Francesco – Short Vita
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Invited speaker at the Equadiff 2007, TU Vienna, 5-11 August 2007.
Mini course at the WK Summer Camp 2007, Weißensee, Kärnten (Austria), July 2007.
Ivited speaker at the conference "Nonlinear PDEs: Homogenization and Kinetic Equations", Kreiskyforum,
Vienna, Austria, 26-30 June, 2006.
Ivited speaker at the BIRS Workshop on Nonlinear diffusions: entropies, asymptotic behavior and applications,
Banff, Canada, April 2006. .
Invited speaker at the “Third meeting on Hyperbolic Conservation Laws: Recent results and Research
perspectives”, SISSA, Trieste, June 2004.
L’Aquila, 13 September 2016
Marco Di Francesco – Short Vita
Marco Di Francesco