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Central limit theorem for Gaussian incompressible additional Brownian noise
Weak convergence random process Gaussian field incompressible flow diffusion
2009/9/21
We generalize the result of Komorowski and Papanicolaou
published in [I.W e consider the solution of stochastic differentid
equation dX(t) = V(t, x (t)) dt + (t), where E (2) is a standard
d-dimens...
The existence of the effective diffusivity tensor for diffusions with incompressible mixing drifts
Random field diffusions in random media mixing
2009/9/21
In the present article we consider a model of motion of
a passive tracer particle under a random, non-steady (time dependent),
incompressible velocity flow in a medium with positive molecular diffus...
Probability & incompressible Navier-Stokes equations: An overview of some recent developments
incompressible Navier-Stokes Fourier transform mild solution multi-type branching random walk multiplicative cascade
2009/5/18
This is largely an attempt to provide probabilists some orientation to an important class of non-linear partial differential equations in applied mathematics, the incompressible Navier-Stokes equation...