On the Cauchy problem for the mean-field equation describing a model of a solid magnet (Q1809971)

The author studies a model describing the behaviour of a magnetic solid consisting of particle (atoms, molecules, and ions) with nonzero spin and nonzero magnetic dipole moment (MDM). Here the authors uses the classical description of state and dynamics of the system. He examines whether the Cauchy problem is well posed and whether the proposed description of the continuum is related to the description of multiparticle systems of the classical equations of motion.