Transport equation and Cauchy problem for BV vector fields and applications, Journ??es ??quations aux d??riv??es partielles, vol.158, issue.2, pp.227-260, 2004. ,
DOI : 10.5802/jedp.1
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow, Rend. Sem. Mat. Univ. Padova, vol.114, pp.29-50, 2005. ,
Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation, Archive for Rational Mechanics and Analysis, vol.157, issue.1, pp.75-90, 2001. ,
DOI : 10.1007/PL00004237
The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles, Communications in Mathematical Physics, vol.35, issue.2, pp.101-113, 1977. ,
DOI : 10.1007/BF01611497
The mathematical theory of dilute gases, Applied Mathematical Sciences, vol.106, 1994. ,
DOI : 10.1007/978-1-4419-8524-8
Well posedness in any dimension for some hamiltonian flows with non BV force terms ,
Estimates and regularity results for the DiPerna-Lions flow, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2008, issue.616, pp.15-46, 2008. ,
DOI : 10.1515/CRELLE.2008.016
Notes on hyperbolic systems of conservation laws and transport equations. Handbook of differential equations, Evolutionary equations, 2007. ,
Ordinary differential equations, transport theory and Sobolev spaces, Inventiones Mathematicae, vol.307, issue.3, pp.511-547, 1989. ,
DOI : 10.1007/BF01393835
Vlasov equations, Functional Analysis and Its Applications, vol.5, issue.3, pp.115-123, 1979. ,
DOI : 10.1007/BF01077243
Convergence of the point vortex method for the 2-D euler equations, Communications on Pure and Applied Mathematics, vol.25, issue.3, pp.415-430, 1990. ,
DOI : 10.1002/cpa.3160430305
On Liouville transport equation with force field in BV loc, Comm. Partial Differential Equations, vol.29, issue.12, pp.207-217, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00869729
WASSERSTEIN DISTANCES FOR VORTICES APPROXIMATION OF EULER-TYPE EQUATIONS, Mathematical Models and Methods in Applied Sciences, vol.19, issue.08, pp.1357-1384, 2009. ,
DOI : 10.1142/S0218202509003814
N-particles Approximation of the Vlasov Equations with Singular Potential, Archive for Rational Mechanics and Analysis, vol.176, issue.3, pp.489-524, 2007. ,
DOI : 10.1007/s00205-006-0021-9
URL : https://hal.archives-ouvertes.fr/hal-00000670
Deux remarques sur les flots g??n??ralis??s d'??quations diff??rentielles ordinaires, Comptes Rendus Mathematique, vol.344, issue.12, pp.759-764, 2007. ,
DOI : 10.1016/j.crma.2007.05.010
Differential equations with singular fields, Journal de Math??matiques Pures et Appliqu??es, vol.94, issue.6 ,
DOI : 10.1016/j.matpur.2010.07.001
URL : https://hal.archives-ouvertes.fr/hal-00601959
Identification of the Dilute Regime in Particle Sedimentation, Communications in Mathematical Physics, vol.37, issue.2, pp.415-432, 2004. ,
DOI : 10.1007/s00220-004-1126-3
On a derivation of the Boltzmann equation, International Conference on Dynamical Systems in Mathematical Physics, pp.117-137, 1975. ,
Statistical mechanics of the isothermal lane-emden equation, Journal of Statistical Physics, vol.10, issue.3, pp.561-578, 1982. ,
DOI : 10.1007/BF01342187
Theoretische und numerische Ergebnisse zur nichtlinearen Vlasov-Gleichung, Lecture Notes in Math, vol.267, pp.159-185, 1971. ,
DOI : 10.1007/BFb0061619
The weak vorticity formulation of the 2-d euler equations and concentration-cancellation, Communications in Partial Differential Equations, vol.20, issue.5, pp.1077-1104, 1995. ,
DOI : 10.1080/03605309508821124
The point-vortex method for periodic weak solutions of the 2-D Euler equations, Communications on Pure and Applied Mathematics, vol.49, issue.9, pp.911-965, 1996. ,
DOI : 10.1002/(SICI)1097-0312(199609)49:9<911::AID-CPA2>3.0.CO;2-A
Large scale dynamics of interacting particles, 1991. ,
DOI : 10.1007/978-3-642-84371-6
The Convergence Theory of Particle-In-Cell Methods for Multidimensional Vlasov???Poisson Systems, SIAM Journal on Numerical Analysis, vol.28, issue.5, pp.1207-1241, 1991. ,
DOI : 10.1137/0728065
A course of modern analysis, 1927. ,
On the Approximation of the Vlasov--Poisson System by Particle Methods, SIAM Journal on Numerical Analysis, vol.37, issue.4, pp.1369-1398, 2000. ,
DOI : 10.1137/S0036142999298528