, 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
, Zero-noise solutions of linear transport equations without uniqueness: an example, Comptes Rendus Mathematique, vol.347, issue.13-14, pp.753-756, 2009.
DOI : 10.1016/j.crma.2009.04.027
, Small random perturbations of peano phenomena, Stochastics, vol.14, issue.3-4, pp.279-292, 1982.
DOI : 10.1080/17442508208833208
, Heavy particles in incompressible flows: The large Stokes number asymptotics, Physica D: Nonlinear Phenomena, vol.226, issue.1, pp.11-22, 2007.
DOI : 10.1016/j.physd.2006.10.007
URL : https://hal.archives-ouvertes.fr/hal-00388083
, Concentrations in the one-dimensional Vlasov-Poisson equations: additional regularizations, Physica D: Nonlinear Phenomena, vol.121, issue.1-2, pp.127-162, 1998.
DOI : 10.1016/S0167-2789(98)00029-3
, Dispersion and Collapse in Stochastic Velocity Fields on??a??Cylinder, Journal of Statistical Physics, vol.79, issue.4-5, pp.4-5, 2010.
DOI : 10.1007/s10955-009-9875-1
URL : https://hal.archives-ouvertes.fr/hal-01144168
, Existence de nappes de tourbillon en dimension deux, Journal of the American Mathematical Society, vol.4, issue.3, pp.553-586, 1991.
DOI : 10.1090/S0894-0347-1991-1102579-6
, Ordinary differential equations, transport theory and Sobolev spaces, Inventiones Mathematicae, vol.307, issue.3, pp.511-547, 1989.
DOI : 10.1007/BF01393835
, Existence and uniqueness of L 2 -solutions at zerodiffusivity in the Kraichnan model of a passive scalar
, Particles and fields in fluid turbulence, Reviews of Modern Physics, vol.73, issue.4, pp.913-975, 2001.
DOI : 10.1103/RevModPhys.73.913
, Random Perturbations of PDEs and Fluid Dynamics Models , Ecole d'´ eté de probabilités de Saint-Flour, Lecture Notes in Math, 2011.
, Well-posedness of the transport equation by??stochastic perturbation, Inventiones mathematicae, vol.93, issue.135, pp.1-53, 2010.
DOI : 10.1007/s00222-009-0224-4
URL : https://hal.archives-ouvertes.fr/hal-00359723
, Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations, Proc. Appl
DOI : 10.1016/j.spa.2011.03.004
URL : https://hal.archives-ouvertes.fr/hal-00658082
, A singular large deviations phenomenon, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.37, issue.5, pp.555-580, 2001.
DOI : 10.1016/S0246-0203(01)01075-5
URL : https://hal.archives-ouvertes.fr/hal-00091327
, 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
, Passive Advection and the Degenerate Elliptic Operators M n, Communications in Mathematical Physics, vol.235, issue.1, pp.1-45, 2003.
DOI : 10.1007/s00220-002-0778-0
, Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations, Stochastic modelling and applied probability 58, 2008.
, Strong solutions of stochastic equations with singular time dependent drift, Probability Theory and Related Fields, vol.11, issue.2, pp.154-196, 2005.
DOI : 10.1007/s00440-004-0361-z
, Stochastic differential equations and stochastic flows of diffeomorphisms , Ecole d'´ eté de probabilités de Saint-Flour, XL?2010, Lecture Notes in Math, 2011.
, Stochastic Flows and Stochastic Differential Equations, Cambridge Studies in Advanced Mathematics, vol.24, 1990.
, On isotropic Brownian motions, Z. Wahrsch. Verw. Gebiete, vol.70, issue.4, pp.609-620, 1985.
, Integration of Brownian vector fields, Ann. Probab, vol.30, issue.2, pp.826-873, 2002.
, Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system, Inventiones Mathematicae, vol.33, issue.no 1, p.415430, 1991.
DOI : 10.1007/BF01232273
, The passive scalar equation in a turbulent incompressible Gaussian velocity field. (Russian) Uspekhi Mat, Nauk translation in Russian Math. Surveys, vol.59, issue.59 2, pp.105-120, 2004.
, Vorticity and incompressible flow, Cambridge Texts in Applied Mathematics, vol.27, 2002.
DOI : 10.1017/CBO9780511613203
, Concentrations in the onedimensional Vlasov-Poisson equations, I. Temporal development and non-unique weak solutions in the single component case, Phys. D, vol.74, pp.3-4, 1994.
, Mathematical Theory of Incompressible Nonviscous Fluids, Applied Mathematical Sciences, vol.96, 1994.
DOI : 10.1007/978-1-4612-4284-0
, Application of Malliavin Calculus to a Class of Stochastic Differential Equations, Probab. Theory Related Fields, vol.84, issue.4, pp.549-571, 1990.
, The Malliavin Calculus and Related Topics, 1995.
DOI : 10.1007/978-1-4757-2437-0
, Diagonal Defect Measures, Adhesion Dynamics and Euler Equation, Methods and Applications of Analysis, vol.9, issue.4, pp.533-561, 2002.
DOI : 10.4310/MAA.2002.v9.n4.a4
URL : http://projecteuclid.org/download/pdf_1/euclid.maa/1251832423
, Some Classes of Random Fields in n-Dimensional Space, Related to Stationary Random Processes, Theory Probab, Appl, vol.2, pp.273-320, 1957.
, Existence of global weak solutions to onecomponent Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data, Comm. Pure Appl. Math, issue.10, pp.47-1365, 1994.
, Dieudonné Dipartimento Matematica UMR CNRS 7351 Applicata