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