Branching process associated with 2d-Navier Stokes equation

Revista Matematica Iberoamericana

Volumn 17, Issue 2, 2001, Pages 331-373

  Benachour, Saïd ^a   Roynette, Bernard ^a   Vallois, Pierre ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035731176     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/297     Document Type: Article

References (15)

1. Constantin, P., Foias, C., Navier-Stokes equations. University of Chicago Press, Chicago, 1998.
2. Chorin, A. J., Marsden, J. E., A mathematical introduction to fluid mechanics. Springer Verlag, 1990.
3. Dynkin, E. B., Branching particle systems and superprocesses. Ann. Probab. 19 (1991), 1157-1194.
4. Kahane, C., On the spatial analyticity of solutions of the Navier-Stokes equations. Arch. Rational Mech. Anal. 33 (1969), 386-405.
5. Komatsu, G., Global analyticity up to tha Boundary of solutions of the Navier-Stokes equations. Comm. Pure Appl. Math. XXXIII (1980), 545-566.
6. Ladyzhenskaya, O., The mathematical theory of viscous incompressible flow. Gordon and Breach, 1969.
7. Lions, J. L., Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod. Gauthier Villers, 1969.
8. Lions, P. L., Mathematical topics in fluids mechanics. Vol. 1. Incompressible models. Oxford Sciences Publications. Clarendon Press, 1996.
9. Majda, A., Vorticity and mathematical theory of incompressible fluid flow. Comm. Pure Appl. Math. 39 (1986), 187-220.
10. Marchioro, C., Pulvirenti, M.. Hydrodynamics in two dimensions and vortex theory. Comm. Math. Phys. 84 (1982), 483-503.
11. McKean, M. P., Propagation of chaos for a class of non linear parabolic equation. Lectures Series in Diff. Equations 7 (1967), 41-57.
12. Priouret, P., Processus de Markov sur une variété à bord compacte. Ann. Inst. H. Poincaré IV (1968), 193-253.
13. Raviart, P. A., An analysis of particle methods. Lecture Notes in Math. 1127 (1985), 243-324. Springer Verlag.
14. Stroock, D. W., Varadhan, S. R. S., Diffusion process with boundary conditions. Comm. Pure Appl. Math. XXIV (1971), 147-226.
15. Teman, R., Navier Stokes equations: theory and numerical analysis. North Holland, 1977.