G. Crippa: Equazione del trasporto e problema di Cauchy per campi vettoriali debolmente differenziabili (Degree Thesis) p. 136, 2004 L. Ambrosio, G. Crippa, S. Maniglia: Traces and fine properties of a $BD$ class of vector fields and applications Ann. Fac. Sci. Toulouse Math. (6) Vol. 14, N. 4, p. 527-561, 2005 F. Colombini, G. Crippa, J. Rauch: A note on two dimensional transport with bounded divergence Comm. Partial Differential Equations Vol. 31, N. 7, p. 1109 - 1115, 2006 F. Bouchut, G. Crippa: Uniqueness, renormalization and smooth approximations for linear transport equations SIAM J. Math. Anal. Vol. 38, N. 4, p. 1316-1328, 2006 G. Crippa, C. De Lellis: Oscillatory solutions to transport equations Indiana Univ. Math. J. Vol. 55, N. 1, p. 1-13, 2006 G. Crippa: The flow associated to weakly differentiable vector fields (Ph.D. Thesis) 2007 L. Ambrosio, G. Crippa, P. G. LeFloch: Leaf superposition property for integer rectifiable currents Netw. Heterog. Media Vol. 3, N. 1, p. 85-95, 2008 L. Ambrosio, G. Crippa: Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields In: Transport Equations and Multi-D Hyperbolic Conservation Laws, Lecture Notes of the Unione Matematica Italiana Vol. 5, 2008 G. Crippa, C. De Lellis: Estimates and regularity results for the DiPerna--Lions flow J. Reine Angew. Math. N. 616, p. 15-46, 2008 G. Crippa, F. Otto, M. Westdickenberg: Regularizing effect of nonlinearity in multidimensional scalar conservation laws In: Transport Equations and Multi-D Hyperbolic Conservation Laws, Lecture Notes of the Unione Matematica Italiana 2008 G. Crippa, C. De Lellis: Regularity and compactness for the DiPerna--Lions flow Hyperbolic Problems: Theory, Numerics, Applications p. 423-430, 2008 G. Crippa: The ordinary differential equation with non-Lipschitz vector fields Boll. Unione Mat. Ital. (9) Vol. 1, N. 2, p. 333-348, 2008 L. Ambrosio, G. Crippa, A. Figalli, L. V. Spinolo: Some new well-posedness results for continuity and transport equations, and applications to the chromatography system SIAM J. Math. Anal. Vol. 41, N. 5, p. 1890-1920, 2009 G. Crippa, C. Jimenez, A. Pratelli: Optimum and equilibrium in a transport problem with queue penalization effect Advances in Calculus of Variations Vol. 2, N. 3, p. 207-246, 2009 F. Bouchut, G. Crippa: Equations de transport à coefficient dont le gradient est donné par une intégrale singulière Séminaire Équations aux dérivées partielles (Polytechnique) p. 1-13, 2009 G. Crippa, C. Jimenez, A. Pratelli: A transport problem with queue penalization effect Singularities in nonlinear evolution phenomena and applications - proceedings p. 139-156, 2009 L. Ambrosio, G. Crippa, A. Figalli, L. V. Spinolo: Existence and uniqueness results for the continuity equation and applications to the chromatography system IMA Vol. Math. Appl., Springer (Proceedings) 2010 G. Crippa, L. V. Spinolo: An overview on some results concerning the transport equation and its applications to conservation laws Communications on Pure and Applied Analysis Vol. 9, N. 5, p. 1283-1293, 2010 G. Crippa: Lagrangian flows and the one dimensional Peano phenomenon for ODEs Journal of Differential Equations Vol. 250, N. 7, p. 3135-3149, 2011 G. Crippa, M. Lecureux-Mercier: Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow Nonlinear Differential Equations and Applications NoDEA (Accepted Paper) 2011 E. Acerbi, G. Crippa, D. Mucci: A variational problem for couples of functions and multifunctions with interaction between leaves ESAIM: Control, Optimisation and Calculus of Variations 2012 G. Alberti, S. Bianchini, G. Crippa: On the L^p differentiability of certain classes of functions Revista Matemática Iberoamericana (Accepted Paper) 2012 G. Crippa, M. C. Lopes Filho, E. Miot, H. J. Nussenzveig Lopes: Flows of vector fields with point singularities and the vortex-wave system (Submitted Paper) 2013 G. Crippa, C. Donadello, L. V. Spinolo: A note on the initial-boundary value problem for continuity equations with rough coefficients (Proceedings) 2013 G. Crippa: Ordinary Differential Equations and Singular Integrals (Proceedings) 2013 G. Alberti, S. Bianchini, G. Crippa: Structure of level sets and Sard-type properties of Lipschitz maps Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. 12, N. 4, p. 863-902, 2013 F. Bouchut, G. Crippa: Lagrangian flows for vector fields with gradient given by a singular integral J. Hyper. Differential Equations Vol. 10, N. 2, p. 235-282, 2013 G. Alberti, S. Bianchini, G. Crippa: A uniqueness result for the continuity equation in two dimensions Journal of the European Mathematical Society (JEMS) Vol. 16, N. 2, p. 201-234, 2014 G. Crippa, C. Donadello, L. V. Spinolo: Initial-boundary value problems for continuity equations with $BV$ coefficients Journal de Mathematiques Pures et Appliquees Vol. 102, p. 79-98, 2014 G. Crippa, S. Spirito: Renormalized Solutions of the 2D Euler Equations (Submitted Paper) 2014 G. Crippa, N. Gusev, S. Spirito, E. Wiedemann: Failure of the Chain Rule for the Divergence of Bounded Vector Fields (Submitted Paper) 2014 G. Crippa, N. Gusev, S. Spirito, E. Wiedemann: Non-uniqueness and prescribed energy for the continuity equation (Submitted Paper) 2014 L. Ambrosio, G. Crippa: Continuity equations and ODE flows with non-smooth velocity Proceedings of the Royal Society of Edinburgh: Section A Vol. 144, N. 6, p. 1191-1244, 2014 G. Alberti, G. Crippa, A. L. Mazzucato: Exponential self-similar mixing and loss of regularity for continuity equations Comptes Rendus Mathématique Vol. 352, N. 11, p. 901-906, 2014 M. Colombo, G. Crippa, S. Spirito: Renormalized solutions to the continuity equation with an integrable damping term Calc. Var. PDE (Accepted Paper) 2015 A. Bohun, F. Bouchut, G. Crippa: Lagrangian solutions to the Vlasov-Poisson system with L^1 density Journal of Differential Equations Vol. 21, 2015 A. Bohun, F. Bouchut, G. Crippa: Lagrangian flows for vector fields with anisotropic regularity Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire Vol. 21, 2015 A. P. Choudhury, G. Crippa, L. V. Spinolo: Initial-boundary value problems for nearly incompressible vector elds, and applications to the Keytz and Kranzer system (Submitted Paper) 2016 A. Bohun, F. Bouchut, G. Crippa: Lagrangian solutions to the 2D Euler system with $L^1$ vorticity and infinite energy Nonlinear Analysis: Theory, Methods & Applications Vol. 132, p. 160-172, 2016 L. Caravenna, G. Crippa: Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation C. R. Math. Acad. Sci. Paris (Accepted Paper) 2016 S. Bianchini, M. Colombo, G. Crippa, L. V. Spinolo: Optimality of integrability estimates for advection-diffusion equations (Submitted Paper) 2017 M. Colombo, G. Crippa, L. V. Spinolo: On the singular local limit for conservation laws with nonlocal fluxes (Preprint) 2017 G. Alberti, G. Crippa, A. L. Mazzucato: Loss of regularity for the continuity equation with non-Lipschitz velocity field (Submitted Paper) 2018 G. Alberti, G. Crippa, A. L. Mazzucato: Exponential self-similar mixing by incompressible flows Journal of the American Mathematical Society (Accepted Paper) 2018 M. Colombo, G. Crippa, E. Marconi, L. V. Spinolo: Local limit of nonlocal traffic models: convergence results and total variation blow-up Ann. de l'institute H. Poincaré, Analyse non linéaire (Accepted Paper) 2021 G. Crippa, G. Stefani: An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces Calc. Var. Partial Differential Equations (Accepted Paper) 2021 E. Bruè, M. Colombo, G. Crippa, C. De Lellis, M. Sorella: Onsager critical solutions of the forced Navier-Stokes equations Communications on Pure and Applied Analysis 2022 M. Colombo, G. Crippa, E. Marconi, L. V. Spinolo: Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate (Preprint) 2022 G. M. Coclite, M. Colombo, G. Crippa, N. De Nitti, A. Keimer, E. Marconi, L. Pflug, L. V. Spinolo: Olenik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit (Submitted Paper) 2023 G. Crippa, M. Inversi, C. Saffirio, G. Stefani: Existence and stability of weak solutions of the Vlasov-Poisson system in localized Yudovich spaces (Submitted Paper) 2023