Abstract
In this paper a rigorous approach to the magnetic diffusion problem is presented under the assumption that the random fluid velocity field is independent of x and completely determined by a prescribed probability measure on the space of symmetric velocity field u(t)=u(−t). By adopting the first integrals method developed by Visik and Fursikov [Mat. Sb. 92, 347 (1973)], the space characteristic functional associated with the random induction equation has been expressed by a functional power series. The explicit formula for this functional has been obtained, without deriving and solving a suitable functional equation for the [u, B] field.
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