-
2
-
-
0001159580
-
Equations stochastiques du type Navier-Stokes
-
Bensoussan A., and Temam R. Equations stochastiques du type Navier-Stokes. J. Func. Anal. 13 (1973) 195-222
-
(1973)
J. Func. Anal.
, vol.13
, pp. 195-222
-
-
Bensoussan, A.1
Temam, R.2
-
3
-
-
0000148817
-
The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
-
Cameron R.H., and Martin W.T. The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals. Ann. Math. 48 (1947) 385-392
-
(1947)
Ann. Math.
, vol.48
, pp. 385-392
-
-
Cameron, R.H.1
Martin, W.T.2
-
5
-
-
0042885804
-
Ergodicity for the 3D stochastic Navier-Stokes equations
-
Da Prato G., and Debussche A. Ergodicity for the 3D stochastic Navier-Stokes equations. J. Math. Pure Appl. 82 (2003) 877-947
-
(2003)
J. Math. Pure Appl.
, vol.82
, pp. 877-947
-
-
Da Prato, G.1
Debussche, A.2
-
6
-
-
0001203226
-
Hermite expansion in Monte-Carlo simulations
-
Chorin A.J. Hermite expansion in Monte-Carlo simulations. J. Comput. Phys. 8 (1971) 472-482
-
(1971)
J. Comput. Phys.
, vol.8
, pp. 472-482
-
-
Chorin, A.J.1
-
7
-
-
0347659106
-
Gaussian fields and random flow
-
Chorin A.J. Gaussian fields and random flow. J. Fluid Mech. 63 (1974) 21-32
-
(1974)
J. Fluid Mech.
, vol.63
, pp. 21-32
-
-
Chorin, A.J.1
-
9
-
-
0014765554
-
Relationship between a Wiener-Hermite expansion and an energy cascade
-
Crow S.C., and Canavan G.H. Relationship between a Wiener-Hermite expansion and an energy cascade. J. Fluid Mech. 41 (1970) 387
-
(1970)
J. Fluid Mech.
, vol.41
, pp. 387
-
-
Crow, S.C.1
Canavan, G.H.2
-
12
-
-
0004163856
-
-
Kluwer Academic Publishers, Dordrecht
-
Hida T., Kuo H.H., Potthoff J., and Streit L. White Noise (1993), Kluwer Academic Publishers, Dordrecht
-
(1993)
White Noise
-
-
Hida, T.1
Kuo, H.H.2
Potthoff, J.3
Streit, L.4
-
13
-
-
1142296114
-
Spectral polynomial chaos solutions of the stochastic advection equation
-
Jardak M., Su C.H., and Karniadakis G.E. Spectral polynomial chaos solutions of the stochastic advection equation. J. Sci. Comput. 17 (2002) 319-338
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 319-338
-
-
Jardak, M.1
Su, C.H.2
Karniadakis, G.E.3
-
15
-
-
6244236583
-
Probability distribution functions for the random forced Burgers equation
-
Khanin W.E.K., Mazel A., and Sinai Ya. Probability distribution functions for the random forced Burgers equation. Phys. Rev. Lett. 78 (1997) 1904-1907
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 1904-1907
-
-
Khanin, W.E.K.1
Mazel, A.2
Sinai, Ya.3
-
16
-
-
0034347507
-
Invariant measures for Burgers equation with stochastic forcing
-
Khanin W.E.K., Mazel A., and Sinai Ya. Invariant measures for Burgers equation with stochastic forcing. Ann. Math. 151 (2000) 877-960
-
(2000)
Ann. Math.
, vol.151
, pp. 877-960
-
-
Khanin, W.E.K.1
Mazel, A.2
Sinai, Ya.3
-
17
-
-
33646950376
-
Small-scale structure of a scalar field convected by turbulence
-
Kraichnan R.H. Small-scale structure of a scalar field convected by turbulence. Phys. Fluids 11 (1968) 487-489
-
(1968)
Phys. Fluids
, vol.11
, pp. 487-489
-
-
Kraichnan, R.H.1
-
18
-
-
0032045223
-
Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration
-
Li R., and Ghanem R. Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration. Prob. Eng. Mech. 13 (1998) 125-136
-
(1998)
Prob. Eng. Mech.
, vol.13
, pp. 125-136
-
-
Li, R.1
Ghanem, R.2
-
20
-
-
0011004706
-
High-order and efficient methods for the vorticity formulation of the Euler equations
-
Lowengrub J.S., Shelley M.J., and Merriman B. High-order and efficient methods for the vorticity formulation of the Euler equations. SIAM J. Sci. Comput. 14 (1993) 1107-1142
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 1107-1142
-
-
Lowengrub, J.S.1
Shelley, M.J.2
Merriman, B.3
-
21
-
-
16244411330
-
Adaptive generalized polynomial chaos for nonlinear random oscillators
-
Lucor D., and Karniadakis G.E. Adaptive generalized polynomial chaos for nonlinear random oscillators. SIAM J. Sci. Comput. 26 2 (2004) 720-735
-
(2004)
SIAM J. Sci. Comput.
, vol.26
, Issue.2
, pp. 720-735
-
-
Lucor, D.1
Karniadakis, G.E.2
-
22
-
-
0013356596
-
Stochastic Navier-Stokes equations. Propagation of chaos and statistical moments
-
Menaldi J.L., Rofmann E., and Sulem A. (Eds), IOS Press, Amsterdam
-
Mikulevicius R., and Rozovskii B.L. Stochastic Navier-Stokes equations. Propagation of chaos and statistical moments. In: Menaldi J.L., Rofmann E., and Sulem A. (Eds). Optimal Control and Partial Differential Equations. In honor of Professor Alain Bensoussan's 60th Birthday (2001), IOS Press, Amsterdam 258-267
-
(2001)
Optimal Control and Partial Differential Equations. In honor of Professor Alain Bensoussan's 60th Birthday
, pp. 258-267
-
-
Mikulevicius, R.1
Rozovskii, B.L.2
-
23
-
-
1842643758
-
Stochastic Navier-Stokes equations for turbulence flow
-
Mikulevicius R., and Rozovskii B. Stochastic Navier-Stokes equations for turbulence flow. SIAM J. Math. Anal. 35 (2004) 1250-1310
-
(2004)
SIAM J. Math. Anal.
, vol.35
, pp. 1250-1310
-
-
Mikulevicius, R.1
Rozovskii, B.2
-
24
-
-
0013201448
-
Dynamical properties of truncated Wiener-Hermite expansions
-
Orszag S.A., and Bissonnette L.R. Dynamical properties of truncated Wiener-Hermite expansions. Phys. Fluids 10 (1967) 2603
-
(1967)
Phys. Fluids
, vol.10
, pp. 2603
-
-
Orszag, S.A.1
Bissonnette, L.R.2
-
25
-
-
0003003979
-
Wave propagation in a one-dimensional random medium
-
Papanicolaou G. Wave propagation in a one-dimensional random medium. SIAM J. Appl. Math. 21 (1971) 13-18
-
(1971)
SIAM J. Appl. Math.
, vol.21
, pp. 13-18
-
-
Papanicolaou, G.1
-
26
-
-
0000471035
-
Diffusion in random media
-
Keller J.B., McLaughlin D., and Papanicolaou G. (Eds), Plenum Press, New York
-
Papanicolaou G. Diffusion in random media. In: Keller J.B., McLaughlin D., and Papanicolaou G. (Eds). Surveys in Applied Mathematics (1995), Plenum Press, New York 205-255
-
(1995)
Surveys in Applied Mathematics
, pp. 205-255
-
-
Papanicolaou, G.1
-
27
-
-
0036472444
-
Polynomial chaos decomposition for the simulation of non-Gaussian non-stationary stochastic processes
-
Sakamoto S., and Ghanem R. Polynomial chaos decomposition for the simulation of non-Gaussian non-stationary stochastic processes. J. Eng. Mech. 128 (2002) 190-201
-
(2002)
J. Eng. Mech.
, vol.128
, pp. 190-201
-
-
Sakamoto, S.1
Ghanem, R.2
-
28
-
-
1442307688
-
An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loève and polynomial expansion
-
Zhang D., and Lu Z. An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loève and polynomial expansion. J. Comput. Phys. 194 (2004) 773-794
-
(2004)
J. Comput. Phys.
, vol.194
, pp. 773-794
-
-
Zhang, D.1
Lu, Z.2
-
29
-
-
0037408312
-
Modeling uncertainty in flow simulations via generalized polynomial chaos
-
Xiu D., and Karniadakis G.E. Modeling uncertainty in flow simulations via generalized polynomial chaos. J. Comput. Phys. 187 (2003) 137-167
-
(2003)
J. Comput. Phys.
, vol.187
, pp. 137-167
-
-
Xiu, D.1
Karniadakis, G.E.2
-
30
-
-
0037249229
-
The Wiener-Askey polynomial chaos for stochastic differential equations
-
Xiu D., and Karniadakis G.E. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput 24 (2002) 619-644
-
(2002)
SIAM J. Sci. Comput
, vol.24
, pp. 619-644
-
-
Xiu, D.1
Karniadakis, G.E.2
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