|
|
|
| | | | | |
|
|
|
|
|
Measure Attractors for Stochastic Navier-Stokes Equations
|
Marek Capinski, Jagiellonian University Nigel J. Cutland, University of Hull |
Abstract
We show existence of measure attractors for 2-D stochastic Navier-Stokes
equations with general multiplicative noise.
|
Full text: PDF
Pages: 1-15
Published on: May 20, 1998
|
Bibliography
-
S.Albeverio, J.-E.Fenstad,
R.Hoegh-Krohn, and T.Lindstrøm,
Nonstandard Methods in Stochastic Analysis and Mathematical
Physics,
Academic Press, New York 1986.
Math Review 88f:03061
-
A.Bensoussan, R.Temam, Equations
stochastiques du type Navier-Stokes, J. Functional
Anal. 13(1973), 195-222.
Math Review 50:1336
-
M.Capinski, N.J.Cutland, Stochastic
Navier-Stokes equations, Acta Applicandae Mathematicae
25 (1991), 59-85.
Math Review 93b:35108
-
M.Capinski, N.J.Cutland, Nonstandard Methods for
Stochastic Fluid Mechanics, World Scientific,
Singapore 1995.
Math Review 96g:35222
-
M.Capinski, D.Gatarek,
Stochastic equations in Hilbert space with application
to Navier-Stokes equations in any dimension,
Journal of Functional Analysis
126 (1994), 26-35.
Math Review 95j:60094
-
H.Crauel and F.Flandoli, Attractors for random dynamical
systems, Probab. Theory Related Fields 100(1994),
365-393.
Math Review 95k:58092
-
G.Da Prato and J.Zabczyk, Stochastic Equations
in Infinite Dimension, Cambridge University Press, Cambridge
1992.
Math Review 95g:60073
-
C.Foias,
Statistical study of Navier-Stokes equations I,
Rend. Sem. Mat. Univ. Padova 48 (1973), 219-348.
Math Review 50:5220
-
O.A.Ladyzhenskaya, A dynamical system generated by the
Navier-Stokes equations, J. Soviet Math. 3(1975), 458-479
Math Review 48:6720
-
H.Morimoto, Attractors of probability measures for
semilinear stochastic evolution equations, Stoch. Anal.
Appl.
2:10(1992), 205-212.
Math Review 93e:60113
-
B.Schmalfuss , Long-time behaviour of the
stochastic Navier-Stokes equations,
Math. Nach. 152 (1991), 7-20.
Math Review 92e:35179
-
B.Schmalfuss , Measure attractors of the stochastic
Navier-Stokes equation, Bremen Report no.258, 1991.
Math Review number not available.
-
B.Schmalfuss , Measure attractors and stochastic
attractors, Bremen Report no. 332, 1995.
Math Review number not available.
-
R.Temam, Navier-Stokes Equations,
Theory and Numerical Analysis, 3rd rev edition,
North-Holland, Amsterdam, 1984.
Math Review 58:29439
-
R.Temam, Infinite-Dimensional Dynamical
Systems in Mechanics and Physics, Springer-Verlag,
New York 1988; 2nd edition 1997.
Math Review 98b:58056
-
V.S.Varadarajan, Measures on topological spaces, American
Math. Soc Translations,
Series 2, 48 (1961), 161-228.
Math Review 26:6342
|
|
|
|
|
|
|
| | | | |
Electronic Journal of Probability. ISSN: 1083-6489 |
|