  Two recent articles of the Munster University experimental team led by S.O.
Demokritov displayed several important facts related to the Bose-Einstein
condensation of magnons (BECM) under permanent pumping first discovered in
2006. They contradicted existing theories of this phenomenon, which predict the
attractive interaction between magnons and strong spontaneous violation of the
reflection symmetry. In this article, we show that these theories implicitly
assumed all relaxation processes to be fast compared with the lifetime of the
magnons, whereas one of them -- relaxation between two minima of energy -- is
slow. We classify processes responsible for the inter-minima relaxation and
present their analytic theory. We analyze how the slow inter-minima relaxation
modifies the anticipated properties of a ferromagnet with the magnon
condensate.
