Electronic Resource
Springer
Journal of dynamics and differential equations
9 (1997), S. 307-341
ISSN:
1572-9222
Keywords:
Random attractors
;
stochastic dynamical systems
;
deterministic nonautonomous systems
;
stochastic Navier-Stokes equation
;
stochastic Burgers equation
;
stochastic nonlinear wave equation
;
58F11
;
58F12
;
60H15
;
34D45
;
35Q30
;
35Q35
;
35L05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, we generalize the notion of an attractor for the stochastic dynamical system introduced in [7]. We prove that the stochastic attractor satisfies most of the properties satisfied by the usual attractor in the theory of deterministic dynamical systems. We also show that our results apply to the stochastic Navier-Stokes equation, the white noise-driven Burgers equation, and a nonlinear stochastic wave equation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02219225
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