Short Curriculum Vitae
Francesca Marcellini
Current Position
- From December 2021: Associate Professor. INdAM Unit, Department of Information Engineering, University of Brescia.
- From December 2018: Assistant Professor (RTDB). INdAM Unit, Department of Information Engineering, University of Brescia.
- May 2012 - 2018: Postdoc at the Department of Mathematics and Applications, University of Milano-Bicocca.
National Academic Qualification
2021/05/07 - Italian National Academic Qualification as Full Professor. Sector: Mathematical Analysis, Statistics and Probability (01/A3).
2017/03/28 - Italian National Academic Qualification as Associate Professor. Sector: Mathematical Analysis, Statistics and Probability (01/A3).
Education
2006/02/15 - Degree at the University of Firenze.
2009/12/21 - PhD in Mathematics and Application at the University of Milano-Bicocca.
Prize
National award INdAM-SIMAI 2012 for young researchers who have distinguished themselves for their contributions in Applied Mathematics.
Research Interests
My research interests focus on partial differential equations. Initially, I dealt with the study of parabolic equations, both from a deterministic and from a stochastic point of view. More recently, I started dealing with hyperbolic equations, in particular with Conservation Laws, their basic theory and their applications. Starting with the study of models concerning fluid dynamics and water flow, I considered also the cutting of metal plates by means of laser beams , biology, epidemiology and, mostly, traffic flow. Modelling needs brought me to consider also mixed systems consisting of conservation/balance laws coupled with ordinary differential equations, also in the presence of constraint.
Research Visits and International Collaborations
France - University of Nice, Nice, France, February 2009
Germany - RWTH, Aachen, Germany, July 2010
Germany - RWTH, Aachen, Germany, August-September 2011
Germany - RWTH, Aachen, Germany, December 2014
USA - UCLA, Los Angeles, Usa, October 2015
USA - Penn State University, State College, USA, July 2018
USA - "Visiting Scholar". Penn State University, State College, USA, December 2019
Selected Communications at International Conferences
IMA-USA - "Nonlinear Conservation Laws and Applications". Summer Program, IMA, University of Minnesota, Minneapolis, USA, July 2009
Sophia Antipolis-France - "Traffic Modeling and Management: Trends and Perspectives." INRIA, Sophia Antipolis, France, March 2013
Oberwolfach-Germany - "Hyperbolic Techniques for Phase Dynamics." Oberwolfach, Germany, June 2013
Rio de Janeiro-Brazil - "XV International Conference on Hyperbolic Problems." Rio de Janeiro, Brazil, July 2014
Los Angeles-USA - "Mathematical Foundations of Traffic." UCLA, Los Angeles, USA, September-October 2015
Sophia Antipolis-France - "TRAM3 Terminus." INRIA, Sophia Antipolis, France, January 2016
Oberwolfach-Germany - "Hyperbolic Techniques in Modelling, Analysis and Numerics." Oberwolfach, Germany, June 2016
Rome-Italy-INdAM - "INdAM: VIII Workshop on the Mathematical Foundations of Traffic." Rome, Italy, INdAM, March 2017
State College-USA - HYP 2018: "XVII International Conference on Hyperbolic Problems." State College, USA, June 2018
Rome-Italy-INdAM - "Methods of Real Analysis and Theory of Elliptic Systems." Rome, September 2018
Leiden-Lorentz Center - "Mathematical Modeling with Measures." Leiden, The Netherlands, December 2018
Oberwolfach-Germany - "Nonlinear Hyperbolic Problems: Modelling, Analysis and Numerics." Oberwolfach, Germany, May 2019
La Quinta-California-USA - "SIAM: Conference on Analysis of Partial Differential Equations." Minisymposium: Transport Equations - Mathematical Biology and Other Applications. La Quinta, California, USA, December 2019
Malaga-Spain - HYP 2022: "XVIII International Conference on Hyperbolic Problems." Malaga, Spain, June 2022
Karlstad-Sweden "The Equadiff Conference 2024", Minisymposium: Hyperbolic PDEs: Models and Theorems. Karlstad, Sweden, June 2024