An explicit solution of the Cauchy problem for the dynamo equation of mean fields has been constructed in the form of а Wiener integral over random paths. The solution obtained proves to bе much more complicated than the corresponding one for the induction equation. This solution is used to study the proem of constructing an effective upper estimate for the rate of growth of а mean magnetic field and the problem of the magnetic field evolution in the medium with fluctuating helicity.
Department of Mathematics
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