-
1
-
-
15944401206
-
Navier-Stokes equations: Controllability by means of low modes forcing
-
Agrachev, A. A.; Sarychev, A. V. Navier-Stokes equations: controllability by means of low modes forcing. J. Math. Fluid Mech. 7 (2005), no. 1, 108-152.
-
(2005)
J. Math. Fluid Mech.
, vol.7
, Issue.1
, pp. 108-152
-
-
Agrachev, A.A.1
Sarychev, A.V.2
-
2
-
-
0002340980
-
On the support of Wiener functionals
-
Pitman Research Notes in Mathematics Series, Longman, Harlow
-
Aida, S.; Kusuoka, S.; Stroock, D. On the support of Wiener functionals. Asymptotic problems in probability theory: Wiener functionals and asymptotics (Sanda/Kyoto, 1990). 3-34. Pitman Research Notes in Mathematics Series, 284. Longman, Harlow, 1993.
-
(1993)
Asymptotic Problems in Probability Theory: Wiener Functionals and Asymptotics (Sanda/Kyoto, 1990)
, vol.284
, pp. 3-34
-
-
Aida, S.1
Kusuoka, S.2
Stroock, D.3
-
3
-
-
0015768944
-
Sur l'unicité rétrograde des équations paraboliques et quelques questions voisines
-
Bardos, C.; Tartar, L. Sur l'unicité rétrograde des équations paraboliques et quelques questions voisines. Arch. Rational Mech. Anal. 50 (1973), 10-25.
-
(1973)
Arch. Rational Mech. Anal.
, vol.50
, pp. 10-25
-
-
Bardos, C.1
Tartar, L.2
-
4
-
-
33847299320
-
Décroissance exponentielle du noyau de la chaleur sur la diagonale. II
-
Ben Arous, G.; Léandre, R. Décroissance exponentielle du noyau de la chaleur sur la diagonale. II. Probab. Theory Related Fields 90 (1991), no. 3, 377-402.
-
(1991)
Probab. Theory Related Fields
, vol.90
, Issue.3
, pp. 377-402
-
-
Ben Arous, G.1
Léandre, R.2
-
5
-
-
0035539917
-
Ergodicity of the 2D Navier-Stokes equations with random forcing
-
Bricmont, J.; Kupiainen, A.; Lefevere, R. Ergodicity of the 2D Navier-Stokes equations with random forcing. Comm. Math. Phys. 224 (2001), no. 1, 65-81.
-
(2001)
Comm. Math. Phys.
, vol.224
, Issue.1
, pp. 65-81
-
-
Bricmont, J.1
Kupiainen, A.2
Lefevere, R.3
-
6
-
-
0003545358
-
-
Chicago Lectures in Mathematics. University of Chicago Press, Chicago
-
Constantin, P.; Foias, C. Navier-Stokes equations. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, 1988.
-
(1988)
Navier-Stokes Equations
-
-
Constantin, P.1
Foias, C.2
-
7
-
-
0003971038
-
-
London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge
-
Da Prato, G.; Zabczyk, J. Ergodicity for infinite-dimensional systems. London Mathematical Society Lecture Note Series, 229. Cambridge University Press, Cambridge, 1996.
-
(1996)
Ergodicity for Infinite-dimensional Systems
, vol.229
-
-
Da Prato, G.1
Zabczyk, J.2
-
8
-
-
0004143319
-
-
Masson, Paris
-
Dautray, R.; Lions, J.-L. Analyse mathématique et calcul numérique pour les sciences et les techniques, vol. 7, Masson, Paris, 1988.
-
(1988)
Analyse Mathématique et Calcul Numérique Pour les Sciences et les Techniques
, vol.7
-
-
Dautray, R.1
Lions, J.-L.2
-
9
-
-
0035516434
-
Ergodicity for the Navier-Stokes equation with degenerate random forcing: Finite-dimensional approximation
-
E. W.; Mattingly, J. C. Ergodicity for the Navier-Stokes equation with degenerate random forcing: finite-dimensional approximation. Comm. Pure Appl. Math. 54 (2001), no. 11, 1386-1402.
-
(2001)
Comm. Pure Appl. Math.
, vol.54
, Issue.11
, pp. 1386-1402
-
-
W., E.1
Mattingly, J.C.2
-
10
-
-
0035639506
-
Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation
-
E, W.; Mattingly, J. C.; Sinai, Ya. Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation. Comm. Math. Phys. 224 (2001), no. 1, 83-106.
-
(2001)
Comm. Math. Phys.
, vol.224
, Issue.1
, pp. 83-106
-
-
W., E.1
Mattingly, J.C.2
Sinai, Ya.3
-
11
-
-
0035534238
-
Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise
-
Eckmann, J.-P.; Hairer, M. Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Comm. Math. Phys. 219 (2001), no. 3, 523-565.
-
(2001)
Comm. Math. Phys.
, vol.219
, Issue.3
, pp. 523-565
-
-
Eckmann, J.-P.1
Hairer, M.2
-
12
-
-
0000152394
-
Dissipativity and invariant measures for stochastic Navier-Stokes equations
-
Flandoli, F. Dissipativity and invariant measures for stochastic Navier-Stokes equations. NoDEA Nonlinear Differential Equations Appl. 1 (1994), no. 4, 403-423.
-
(1994)
NoDEA Nonlinear Differential Equations Appl.
, vol.1
, Issue.4
, pp. 403-423
-
-
Flandoli, F.1
-
13
-
-
0002449201
-
Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
-
Foias, C.; Prodi, G. Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2. Rend. Sem. Mat. Univ. Padova 39 1967, 1-34.
-
(1967)
Rend. Sem. Mat. Univ. Padova
, vol.39
, pp. 1-34
-
-
Foias, C.1
Prodi, G.2
-
14
-
-
34250682700
-
Ergodicity of the degenerate stochastic 2D Navier-Stokes equation
-
in press
-
Hairer, M.; Mattingly, J. C. Ergodicity of the degenerate stochastic 2D Navier-Stokes equation. Ann. of Math. (2), in press.
-
Ann. of Math. (2)
-
-
Hairer, M.1
Mattingly, J.C.2
-
15
-
-
0003007839
-
Diffusions on an infinite-dimensional torus
-
Holley, R.; Stroock, D. Diffusions on an infinite-dimensional torus. J. Funct. Anal. 42 (1981), no. 1, 29-63.
-
(1981)
J. Funct. Anal.
, vol.42
, Issue.1
, pp. 29-63
-
-
Holley, R.1
Stroock, D.2
-
16
-
-
0034349965
-
Stochastic dissipative PDEs and Gibbs measures
-
Kuksin, S.; Shirikyan, A. Stochastic dissipative PDEs and Gibbs measures. Comm. Math. Phys. 213 (2000), no. 2, 291-330.
-
(2000)
Comm. Math. Phys.
, vol.213
, Issue.2
, pp. 291-330
-
-
Kuksin, S.1
Shirikyan, A.2
-
19
-
-
0141450333
-
The dissipative scale of the stochastics Navier-Stokes equation: Regularization and analyticity
-
Mattingly, J. C. The dissipative scale of the stochastics Navier-Stokes equation: regularization and analyticity. J. Statist. Phys. 108 (2002), no. 5-6, 1157-1179.
-
(2002)
J. Statist. Phys.
, vol.108
, Issue.5-6
, pp. 1157-1179
-
-
Mattingly, J.C.1
-
20
-
-
0036026973
-
Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
-
Mattingly, J. C. Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics. Comm. Math. Phys. 230 (2002), no. 3, 421-462.
-
(2002)
Comm. Math. Phys.
, vol.230
, Issue.3
, pp. 421-462
-
-
Mattingly, J.C.1
-
21
-
-
33645006339
-
On recent progress for the stochastic Navier Stokes equations
-
Exp. No. XI, Université de Nantes, Nantes, 2003. arXiv: math-PR/0409194
-
Mattingly, J. C. On recent progress for the stochastic Navier Stokes equations. Journées quot;Équations aux Dérivées Partiellesquot;, Exp. No. XI, 52 pp. Université de Nantes, Nantes, 2003. arXiv: math-PR/0409194, 2004. Also available at: http://www.math.sciences.univ- nantes.fr/edpa/2003/html/.
-
(2004)
Journées quot;Équations Aux Dérivées Partiellesquot;
-
-
Mattingly, J.C.1
-
22
-
-
22844453762
-
An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations
-
Mattingly, J. C.; Sinai, Ya. G. An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations. Commun. Contemp. Math. 1 (1999), no. 4, 497-516.
-
(1999)
Commun. Contemp. Math.
, vol.1
, Issue.4
, pp. 497-516
-
-
Mattingly, J.C.1
Sinai, Ya.G.2
-
23
-
-
1842643758
-
Stochastic Navier-Stokes equations for turbulent flows
-
Mikulevicius, R.; Rozovskii, B. L. Stochastic Navier-Stokes equations for turbulent flows. SIAM J. Math. Anal. 35 (2004), no. 5, 1250-1310.
-
(2004)
SIAM J. Math. Anal.
, vol.35
, Issue.5
, pp. 1250-1310
-
-
Mikulevicius, R.1
Rozovskii, B.L.2
-
24
-
-
0000397566
-
Simplified Malliavin calculus
-
Lecture Notes in Mathematics, Springer, Berlin
-
Norris, J. Simplified Malliavin calculus. Séminaire de Probabilités, XX, 1984/85, 101-130. Lecture Notes in Mathematics, 1204. Springer, Berlin, 1986.
-
(1986)
Séminaire de Probabilités, XX, 1984/85
, vol.1204
, pp. 101-130
-
-
Norris, J.1
-
26
-
-
0000343766
-
Analysis on Wiener space and anticipating stochastic calculus
-
Lecture Notes in Mathematics, Springer, Berlin
-
Nualart, D. Analysis on Wiener space and anticipating stochastic calculus. Lectures on probability theory and statistics (Saint-Flour, 1995), 123-227. Lecture Notes in Mathematics, 1690. Springer, Berlin, 1998.
-
(1998)
Lectures on Probability Theory and Statistics (Saint-Flour, 1995)
, vol.1690
, pp. 123-227
-
-
Nualart, D.1
-
27
-
-
0001626619
-
Stochastic calculus with anticipating integrands
-
Nualart, D.; Pardoux, É. Stochastic calculus with anticipating integrands. Probab. Theory Related Fields 78 (1988), no. 4, 535-581.
-
(1988)
Probab. Theory Related Fields
, vol.78
, Issue.4
, pp. 535-581
-
-
Nualart, D.1
Pardoux, É.2
-
28
-
-
38249028101
-
Stochastic calculus of variations for stochastic partial differential equations
-
Ocone, D. Stochastic calculus of variations for stochastic partial differential equations. J. Fund. Anal. 79 (1988), no. 2, 288-331.
-
(1988)
J. Fund. Anal.
, vol.79
, Issue.2
, pp. 288-331
-
-
Ocone, D.1
-
29
-
-
0003543379
-
-
Grundlehren der Mathematischen Wissenschaften, Springer, Berlin
-
Revuz, D.; Yor, M. Continuous martingales and Brownian motion. 3rd ed. Grundlehren der Mathematischen Wissenschaften, 293. Springer, Berlin, 1999.
-
(1999)
Continuous Martingales and Brownian Motion. 3rd Ed.
, vol.293
-
-
Revuz, D.1
Yor, M.2
-
30
-
-
3042696292
-
Ergodicity of the finite dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise
-
Romito, M. Ergodicity of the finite dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise. J. Statist. Phys. 114 (2004), no. 1-2, 155-177.
-
(2004)
J. Statist. Phys.
, vol.114
, Issue.1-2
, pp. 155-177
-
-
Romito, M.1
-
31
-
-
0001198512
-
Some applications of stochastic calculus to partial differential equations
-
Lecture Notes in Mathematics, Springer, Berlin
-
Stroock, D. W. Some applications of stochastic calculus to partial differential equations. Eleventh Saint Flour probability summer school - 1981 (Saint Flour, 1981), 267-382, Lecture Notes in Mathematics, 976. Springer, Berlin, 1983.
-
(1983)
Eleventh Saint Flour Probability Summer School - 1981 (Saint Flour, 1981)
, vol.976
, pp. 267-382
-
-
Stroock, D.W.1
|