## 2016

Bohun, Anna and Bouchut, François and Crippa, Gianluca.
(2016)
* Lagrangian flows for vector fields with anisotropic regularity.*
Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, 33 (6).
pp. 1409-1429.

Crippa, Gianluca and Lopes Filho, Milton and Miot, Evelyne and Nussenzveig Lopes, Helena.
(2016)
* Flows of vector fields with point singularities and the vortex-wave system.*
Discrete and continuous dynamical systems, 36 (5).
pp. 2405-2417.

Bohun, Anna and Bouchut, François and Crippa, Gianluca.
(2016)
* Lagrangian solutions to the Vlasov–Poisson system with L1 density.*
Journal of differential equations, 260 (4).
pp. 3576-3597.

Bohun, Anna and Bouchut, François and Crippa, Gianluca.
(2016)
* Lagrangian solutions to the 2D Euler system with L1 vorticity and infinite energy.*
Nonlinear analysis, 132.
pp. 160-172.

Colombo, Maria and Crippa, Gianluca and Stefano, Spirito.
(2016)
* Logarithmic estimates for continuity equations.*
Networks and Heterogeneous Media, 11 (2).
pp. 301-311.

Caravenna, Laura and Crippa, Gianluca.
(2016)
* Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation.*
Comptes rendus mathematique, 354 (12).
pp. 1168-1173.

## 2015

Crippa, Gianluca and Gusev, Nikolay and Spirito, Stefano and Wiedemann, Emil.
(2015)
* Non-uniqueness and prescribed energy for the continuity equation.*
Communications in mathematical sciences, 13 (7).
pp. 1937-1947.

Colombo, Maria and Crippa, Gianluca and Spirito, Stefano.
(2015)
* Renormalized solutions to the continuity equation with an integrable damping term.*
Calculus of variations and partial differential equations, 54 (2).
pp. 1831-1845.

Crippa, Gianluca and Spirito, Stefano.
(2015)
* Renormalized solutions of the 2D Euler equations.*
Communications in mathematical physics, 339 (1).
pp. 191-198.

Crippa, Gianluca and Semenova, Elizaveta and Spirito, Stefano.
(2015)
* Strong continuity for the 2D Euler equations.*
Kinetic and related models, 8 (4).
pp. 685-689.

Crippa, Gianluca and Gusev, Nikolay and Spirito, Stefano and Wiedemann, Emil.
(2015)
* Failure of the chain rule for the divergence of bounded vector fields.*
Annali della Scuola Normale di Pisa - Classe di Scienze.

## 2014

Alberti, Giovanni and Bianchini, Stefano and Crippa, Gianluca.
(2014)
* A uniqueness result for the continuity equation in two dimensions.*
Journal of the European Mathematical Society, Vol. 16, H. 2.
S. 201-234.

Alberti, Giovanni and Bianchini, Stefano and Crippa, Gianluca.
(2014)
* On the Lp-differentiability of certain classes of functions.*
Revista matemática Iberoamericana, Vol. 30, no. 1.
S. 349-367.

Alberti, Giovanni and Crippa, Gianluca and Mazzucato, Anna L..
(2014)
* Exponential self-similar mixing and loss of regularity for continuity equations.*
Comptes rendus mathematique, Vol. 352, no. 11.
S. 901-906.

Crippa, Gianluca and Donadello, Carlotta and Spinolo, Laura Valentina.
(2014)
* Initial-boundary value problems for continuity equations with BV coefficients.*
Journal de mathématiques pures et appliquées, Vol. 102, No. 1.
S. 79-98.

Ambrosio, Luigi and Crippa, Gianluca.
(2014)
* Continuity equations and ODE flows with non-smooth velocity.*
Proceedings of the Royal Society of Edinburgh. Section A, Mathematics, Vol. 144, H. 6.
S. 1191-1244.

Crippa, Gianluca.
(2014)
* Ordinary differential equations and singular integrals.*
In:
Hyperbolic problems: theory, numerics, applications.
pp. 109-117.

Crippa, Gianluca and Donadello, Carlotta and Spinolo, Laura Valentina.
(2014)
* A note on the initial-boundary value problem for continuity equations with rough coefficients.*
In:
Hyperbolic problems: theory, numerics, applications.
pp. 957-966.

## 2013

Crippa, Gianluca and Lecureux-Mercier, Magali.
(2013)
* Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow.*
NoDEA: nonlinear differential equations and applications, Vol. 20, H. 3.
S. 523-537.

Bouchut, Francois and Crippa, Gianluca.
(2013)
* Lagrangian flows for vector fields with gradient given by a singular integral.*
Journal of hyperbolic differential equations, Vol. 10, H. 2.
S. 235-282.

Alberti, Giovanni and Bianchini, Stefano and Crippa, Gianluca.
(2013)
* Structure of level sets and Sard-type properties of Lipschitz maps.*
Annali della Scuola Normale di Pisa - Classe di Scienze, 12 (4).
pp. 863-902.

## 2012

Acerbi, Emilio and Crippa, Gianluca and Mucci, Domenico.
(2012)
* A variational problem for multifunctions with interaction between leaves.*
ESAIM: Control, Optimisation and Calculus of Variations, 18 (4).
pp. 1178-1206.

## 2009

Crippa, Gianluca.
(2009)
* The flow associated to weakly differentiable vector fields.*
Theses / Scuola Normale Superiore di Pisa, 12.
Pisa.

## 2006

Crippa, Gianluca and De Lellis, Camillo.
(2006)
* Oscillatory solutions to transport equations.*
Indiana University Mathematics Journal , 55 (1).
pp. 1-13.