Slow inter-minima relaxation and its consequence for BEC of magnons

Two recent reports of the Münster University experimental team led by S.O. Demokritov displayed several important facts contradicting to the existing theories of the Bose-Einstein condensate of magnons (BECM). Though a complete theoretical description of these experiments still is in development, we will present simplified theoretical arguments to determine what are properties of the uniform stationary BECM established under the action of permanent parametric pumping that follows from the experimental facts.