Gianluca Crippa

Assistant Professor - Ricercatore Universitario di ruolo
on Mathematical Analysis


Dipartimento di Matematica - Università degli Studi di Parma
Parco Area delle Scienze 53/A (Campus)
43124 PARMA (Italy)

phone: +39 0521 906968
fax: +39 0521 906950

email: gianluca (dot) crippa (at) unipr (dot) it


How to reach the Department


Research Interests

Geometric Measure Theory, Calculus of Variations and Partial Differential Equations
Transport Equation and Ordinary Differential Equation with Non-Smooth Vector Field
Optimal Mass Transportation
Conservation Laws
Fluid Dynamics

Publications

Almost all my papers are available (in a more or less final form) on the cvgmt.sns.it preprint server.

Download the complete list of publications (in pdf format - inside the CV).


Recent publications and preprints:

The flow associated to weakly differentiable vector fields.
PhD Thesis, Published in the "Theses" series of the Publications of the Scuola Normale Superiore, vol. 12, 2009 - Distributed by Birkhauser.

Equations de transport a coefficient dont le gradient est donne par une integrale singuliere.
(with Francois Bouchut)
Seminaire: Equations aux Derivees Partielles. 2007-2008, Exp. No. I, Ecole Polytech., Palaiseau, 2009.

Some new well-posedness results for continuity and transport equations, and applications to the chromatography system.
(with Luigi Ambrosio, Alessio Figalli and Laura V. Spinolo)
SIAM J. Math. Anal. 41 (2009), no. 5, 1890-1920.

An overview on some results concerning the transport equation and its applications to conservation laws.
(with Laura V. Spinolo)
Communications on Pure and Applied Analysis 9 (2010), no. 5, 1283-1293.

Structure of level sets and Sard-type properties of Lipschitz maps: results and counterexamples.
(with Giovanni Alberti and Stefano Bianchini)
Preprint, May 2010.

Lagrangian flows and the one dimensional Peano phenomenon for ODEs.
Preprint, July 2010.

Awards and Grants

My PhD Thesis has been awarded a distinction and a money prize by the Mathematisch-Naturwissenschaftliche Fakultät of the Universität Zürich.

I am member of the ERC project "ConLaws - Hyperbolic Systems of Conservation Laws: singular limits, properties of solutions and control problems", funded by the European Research Council for about 420.000 Euro. Principal Investigator is Stefano Bianchini (SISSA - ISAS, Trieste).

Curriculum Vitae (in pdf format)

Travel plans

Trieste, September 2 - 4, 2010: Eighth Meeting on Hyperbolic Conservation Laws and Fluid Dynamics: Recent Results and Research Perspectives

ICMAT Madrid, September 20 - December 18, 2010: Calculus of Variations, Singular Integrals and Incompressible Fluids

CRM De Giorgi, Pisa, October 12 - 16, 2010: Optimal Transportation and Applications

Intensive Research Month on
Hyperbolic Conservation Laws and Fluid Dynamics

Parma, February 1 - 28, 2010

Didattica (links to Italian websites on CampusNet)

AA 2009/2010: Modulo di "Matematica" del Corso Integrato di "Matematica e Fisica" per Scienze Gastronomiche, primo semestre
AA 2009/2010: Modulo di "Statistica Applicata" del Corso Integrato di "Fisica e Statistica" per Scienze e Tecnologie Alimentari, secondo semestre
AA 2009/2010: Teoria della Misura e dell'Integrazione per la Laurea Triennale in Matematica, primo semestre

La pagina delle iscrizioni agli esami dei corsi ad Agraria è disponibile partendo da www.unipr.it e cliccando su "Iscrizione agli Esami via Internet" (sulla sinistra). Ricordo che l'iscrizione all'esame è OBBLIGATORIA.

Regolamento relativo agli esami di Matematica e di Fisica per gli studenti di Scienze Gastronomiche

Corsi tenuti a Matematica negli scorsi anni accademici



Last update: August 24, 2010

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