Attractors for the Stochastic 3d Navier-stokes Equations
نویسندگان
چکیده
In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not known to possess) the property of uniqueness. In particular he used this to show that the 3d Navier-Stokes equations have a global attractor provided that all weak solutions are continuous from (0,∞) into L2. In this paper we adapt his framework to treat stochastic equations: we introduce a notion of a stochastic generalised semiflow, and then show a similar result to Ball’s concerning the attractor of the stochastic 3d Navier-Stokes equations with additive white noise.
منابع مشابه
Attractors and neo-attractors for 3D stochastic Navier-Stokes equations
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