@article{AIHPB_2002__38_2_207_0, author = {Flandoli, Franco}, title = {On a probabilistic description of small scale structures in {3D} fluids}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {207--228}, publisher = {Elsevier}, volume = {38}, number = {2}, year = {2002}, mrnumber = {1899111}, zbl = {1017.76074}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_2002__38_2_207_0/} }
TY - JOUR AU - Flandoli, Franco TI - On a probabilistic description of small scale structures in 3D fluids JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2002 SP - 207 EP - 228 VL - 38 IS - 2 PB - Elsevier UR - http://archive.numdam.org/item/AIHPB_2002__38_2_207_0/ LA - en ID - AIHPB_2002__38_2_207_0 ER -
Flandoli, Franco. On a probabilistic description of small scale structures in 3D fluids. Annales de l'I.H.P. Probabilités et statistiques, Volume 38 (2002) no. 2, pp. 207-228. http://archive.numdam.org/item/AIHPB_2002__38_2_207_0/
[1] Akao J., Unpublished manuscript, UC Berkeley, 1996; Phase transitions and connectivity in the three-dimensional vortex equilibria, Ph.D Thesis, UC Berkeley, 1994.
[2] Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two-dimensional fluids, Comm. Math. Phys. 129 (1990) 431-444. | Zbl
, ,[3] Vorticity intensification and the transition to turbulence in the three-dimensional Euler equations, Comm. Math. Phys. 147 (1992) 371-394. | MR | Zbl
, ,[4] On the construction of the three-dimensional polymer measure, Probab. Theory Related Fields 97 (1993) 81-101. | MR | Zbl
,[5] Vorticity and Turbulence, Springer, New York, 1994. | MR | Zbl
,[6] Attractors for random dynamical systems, Probab. Theory Related Fields 100 (1994) 365-393. | MR | Zbl
, ,[7] Dissipativity and invariant measures for stochastic Navier-Stokes equations, Nonlin. Diff. Eq. Appl. 1 (1994) 403-423. | Zbl
,[8] Martingale and stationary solutions for stochastic Navier-Stokes equations, Probab. Theory Related Fields 102 (1995) 367-391. | Zbl
, ,[9] Ergodicity of the 2-D Navier-Stokes equation under random perturbations, Comm. Math. Phys. 171 (1995) 119-141. | Zbl
, ,[10] Meccanica dei Fluidi, Quaderni CNR - GNAFA, 52, Roma, 1996.
,[11] Chaos expansions of double intersection local time of Brownian motion in Rd and renormalization, Stoch. Proc. Their Appl. 56 (1995) 1-34. | MR | Zbl
, , ,[12] Stochastic differential equations and stochastic flows of diffeomorphisms, in: (Ed.), École d'été de Saint-Flour XII, 1982, LNM, 1097, Springer, Berlin, 1984. | MR | Zbl
,[13] Foundations of Modern Potential Theory, Springer, New York, 1972. | MR | Zbl
,[14] Sur le temps local d'intersection du mouvement Brownien plan, et la méthode de renormalisation de Varadhan, in: Sém. de Prob. XIX 1983/84, LNM, 1123, Springer, Berlin, 1985, pp. 314-331. | Numdam | MR | Zbl
,[15] Some properties of planar Brownian motion, in: École d'été de Saint-Flour XX, 1990, LNM, 1527, Springer, Berlin, 1992. | MR | Zbl
,[16] On Euler Equations and Statistical Physics, Quaderni Scuola Nornale Superiore of Pisa, Pisa, 1997. | MR | Zbl
,[17] Mathematical Theory of Incompressible Nonviscous Fluids, Springer, Berlin, 1994. | MR | Zbl
, ,[18] Equilibrium statistical theory for nearly parallel vortex filaments, Comm. Pure Appl. Math. 53 (2000), to appear. | MR | Zbl
, ,[19] Continuous Martingales and Brownian Motion, Springer, Berlin, 1994. | MR | Zbl
, ,[20] A local time approach to the self-intersections of Brownian paths in space, Comm. Math. Phys. 88 (1983) 327-338. | MR | Zbl
,[21] A representation for the intersection local time of Brownian motion in space, Ann. Probab. 13 (1985) 145-153. | MR | Zbl
,[22] Sur les integrales stochastiques multiples, in: Sém. de Prob. XIX, 1983/84, LNM, 1123, Springer, Berlin, 1985, pp. 248-262. | Numdam | MR | Zbl
,[23] The generalized covariation process and Ito formula, Stoch. Proc. Their Appl. 59 (1995) 81-104. | MR | Zbl
, ,[24] Ito formula for C1-functions of semimartinagales, Probab. Theory Relat. Fields 104 (1996) 27-41. | MR | Zbl
, ,[25] Brownian Motion, Obstacles and Random Media, Springer, Berlin, 1998. | MR | Zbl
,[26] The true self-repelling motion, Probab. Theory Related Fields 111 (1998) 375-452. | MR | Zbl
, ,[27] Mathematical Problems of Statistical Hydromechanics, Kluwer, Dordrecht, 1980. | MR | Zbl
, ,[28] On Edwards model for long polymer chains, Comm. Math. Phys. 72 (1980) 131-174. | MR | Zbl
,[29] Compléments aux formules de Tanaka-Rosen, in: Sém. de Prob. XIX, 1983/84, LNM, 1123, Springer, Berlin, 1985, pp. 332-348. | Numdam | Zbl
,[30] Renormalisation et convergence en loi pour le temps locaux d'intersection du mouvement brownien dans R3, in: Sém. de Prob. XIX, 1983/84, LNM, 1123, Springer, Berlin, 1985, pp. 350-365. | Numdam | MR | Zbl
,