-
1
-
-
34250136481
-
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
-
Beale, T.; Kato, T.; Majda A. Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Comm. Math. Phys. 94 (1984), no. 1, 61-66.
-
(1984)
Comm. Math. Phys
, vol.94
, Issue.1
, pp. 61-66
-
-
Beale, T.1
Kato, T.2
Majda, A.3
-
2
-
-
0344065857
-
Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations
-
electronic
-
Bhattacharya, R. N.; Chen, L.; Dobson, S.; Guenther, R. B.; Oram, C.; Ossiander, M.; Thomann, E.; Waymire, E. C. Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations. Trans. Amer. Math. Soc. 355 (2003), no. 12, 5003-5040 (electronic).
-
(2003)
Trans. Amer. Math. Soc
, vol.355
, Issue.12
, pp. 5003-5040
-
-
Bhattacharya, R.N.1
Chen, L.2
Dobson, S.3
Guenther, R.B.4
Oram, C.5
Ossiander, M.6
Thomann, E.7
Waymire, E.C.8
-
3
-
-
0033233665
-
A probabilistic approach to the two-dimensional Navier-Stokes equations
-
Busnello, B. A probabilistic approach to the two-dimensional Navier-Stokes equations. Ann. Probab. 27 (1999), no. 4, 1750-1780.
-
(1999)
Ann. Probab
, vol.27
, Issue.4
, pp. 1750-1780
-
-
Busnello, B.1
-
4
-
-
21244493252
-
A probabilistic representation for the vorticity of a three-dimensional viscous fluid and for general systems of parabolic equations
-
Busnello, B.; Flandoli, F.; Romito, M. A probabilistic representation for the vorticity of a three-dimensional viscous fluid and for general systems of parabolic equations. Proc. Edinb. Math. Soc. (2) 48 (2005), no. 2, 295-336.
-
(2005)
Proc. Edinb. Math. Soc. (2)
, vol.48
, Issue.2
, pp. 295-336
-
-
Busnello, B.1
Flandoli, F.2
Romito, M.3
-
5
-
-
0001262719
-
Camassa-Holm equations as a closure model for turbulent channel and pipe flow
-
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Phys. Rev. Lett. 81 (1998), no. 24, 5338-5341.
-
(1998)
Phys. Rev. Lett
, vol.81
, Issue.24
, pp. 5338-5341
-
-
Chen, S.1
Foias, C.2
Holm, D.D.3
Olson, E.4
Titi, E.S.5
Wynne, S.6
-
6
-
-
0347786769
-
Numerical study of slightly viscous flow
-
Chorin, A. J. Numerical study of slightly viscous flow. J. Fluid Mech. 57 (1973), no. 4, 785-796.
-
(1973)
J. Fluid Mech
, vol.57
, Issue.4
, pp. 785-796
-
-
Chorin, A.J.1
-
7
-
-
0002926253
-
Vortex models and boundary layer instability
-
Chorin, A. J. Vortex models and boundary layer instability. SIAM J. Sci. Statist. Comput. 1 (1980), no. 1, 1-21.
-
(1980)
SIAM J. Sci. Statist. Comput
, vol.1
, Issue.1
, pp. 1-21
-
-
Chorin, A.J.1
-
8
-
-
33745457614
-
A mathematical introduction to fluid mechanics
-
3rd ed, Springer, New York
-
Chorin, A. J.; Marsden, J. E. A mathematical introduction to fluid mechanics. 3rd ed. Texts in Applied Mathematics, 4. Springer, New York, 2000.
-
(2000)
Texts in Applied Mathematics
, vol.4
-
-
Chorin, A.J.1
Marsden, J.E.2
-
9
-
-
0035580860
-
An Eulerian-Lagrangian approach for incompressible fluids: Local theory
-
electronic
-
Constantin, P. An Eulerian-Lagrangian approach for incompressible fluids: local theory. J. Amer. Math. Soc. 14 (2001), no. 2, 263-278 (electronic).
-
(2001)
J. Amer. Math. Soc
, vol.14
, Issue.2
, pp. 263-278
-
-
Constantin, P.1
-
10
-
-
0035529586
-
An Eulerian-Lagrangian approach to the Navier-Stokes equations
-
Constantin, P. An Eulerian-Lagrangian approach to the Navier-Stokes equations. Comm. Math. Phys. 216 (2001), no. 3, 663-686.
-
(2001)
Comm. Math. Phys
, vol.216
, Issue.3
, pp. 663-686
-
-
Constantin, P.1
-
11
-
-
0040236390
-
Stochastic differential equations and applications
-
28. Academic [Harcourt Brace Jovanovich, New York-London
-
Friedman, A. Stochastic differential equations and applications, vol. 1. Probability and Mathematical Statistics, 28. Academic [Harcourt Brace Jovanovich], New York-London, 1975.
-
(1975)
Probability and Mathematical Statistics
, vol.1
-
-
Friedman, A.1
-
12
-
-
84990617933
-
Convergence of the random vortex method
-
Goodman, J. Convergence of the random vortex method. Comm. Pure Appl. Math. 40 (1987), no. 2, 189-220.
-
(1987)
Comm. Pure Appl. Math
, vol.40
, Issue.2
, pp. 189-220
-
-
Goodman, J.1
-
13
-
-
0001971504
-
The Euler-Poincaré equations and semidirect products with applications to continuum theories
-
Holm, D.; Marsden, J.; Ratiu, T. The Euler-Poincaré equations and semidirect products with applications to continuum theories. Adv. Math. 137 (1998), no. 1, 1-81.
-
(1998)
Adv. Math
, vol.137
, Issue.1
, pp. 1-81
-
-
Holm, D.1
Marsden, J.2
Ratiu, T.3
-
15
-
-
33747466468
-
A stochastic perturbation of inviscid flows
-
Iyer, G. A stochastic perturbation of inviscid flows. Comm. Math. Phys. 266 (2006), no. 3, 631-645.
-
(2006)
Comm. Math. Phys
, vol.266
, Issue.3
, pp. 631-645
-
-
Iyer, G.1
-
16
-
-
0003242243
-
Brownian motion and stochastic calculus
-
2nd ed, Springer, New York
-
Karatzas, I.; Shreve, S. Brownian motion and stochastic calculus. 2nd ed. Graduate Texts in Mathematics, 113. Springer, New York, 1991.
-
(1991)
Graduate Texts in Mathematics
, vol.113
-
-
Karatzas, I.1
Shreve, S.2
-
17
-
-
4544279512
-
Stochastic flows and stochastic differential equations
-
Cambridge University Press, Cambridge
-
Kunita, H. Stochastic flows and stochastic differential equations. Cambridge Studies in Advanced Mathematics, 24. Cambridge University Press, Cambridge, 1997.
-
(1997)
Cambridge Studies in Advanced Mathematics
, vol.24
-
-
Kunita, H.1
-
19
-
-
0039941210
-
Spatial branching processes, random snakes and partial differential equations
-
Birkhäuser, Basel
-
Le Gall, J.-F. Spatial branching processes, random snakes and partial differential equations. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel, 1999.
-
(1999)
Lectures in Mathematics ETH Zürich
-
-
Le Gall, J.-F.1
-
20
-
-
0031522024
-
Stochastic cascades and 3-dimensional Navier-Stokes equations
-
Le Jan, Y.; Sznitman, A. S. Stochastic cascades and 3-dimensional Navier-Stokes equations. Probab. Theory Related Fields 109 (1997), no. 3, 343-366.
-
(1997)
Probab. Theory Related Fields
, vol.109
, Issue.3
, pp. 343-366
-
-
Le Jan, Y.1
Sznitman, A.S.2
-
21
-
-
84968499110
-
Convergence of the random vortex method in two dimensions
-
Long, D. Convergence of the random vortex method in two dimensions. J. Amer. Math. Soc. 1 (1988), no. 4, 779-804.
-
(1988)
J. Amer. Math. Soc
, vol.1
, Issue.4
, pp. 779-804
-
-
Long, D.1
-
23
-
-
84990619636
-
A random-walk interpretation of the incompressble Navier-Stokes equations
-
Peskin, C. A random-walk interpretation of the incompressble Navier-Stokes equations. Comm. Pure Appl. Math. 38 (1985), no. 6, 845-852.
-
(1985)
Comm. Pure Appl. Math
, vol.38
, Issue.6
, pp. 845-852
-
-
Peskin, C.1
-
24
-
-
0036571673
-
Stochastic Lagrangian models of velocity in homogeneous turbulent shear flow
-
Pope, S. B. Stochastic Lagrangian models of velocity in homogeneous turbulent shear flow. Phys. Fluids 14 (2002), no. 5, 1696-1702.
-
(2002)
Phys. Fluids
, vol.14
, Issue.5
, pp. 1696-1702
-
-
Pope, S.B.1
-
25
-
-
0003201639
-
Singular integrals and differentiability properties of functions
-
Princeton University Press, Princeton, N.J
-
Stein, E. M. Singular integrals and differentiability properties of functions. Princeton Mathematical Series, 30. Princeton University Press, Princeton, N.J., 1970.
-
(1970)
Princeton Mathematical Series
, vol.30
-
-
Stein, E.M.1
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