Non-stationary model of incompressible viscoelastic Kelvin-Voigt fluid of higher order in the Earth's magnetic field

This work is aimed at studying a higher-order model of magnetohydrodynamics in regards to external effects on a fluid. The first initial boundary value problem for a system of higher-order Kelvin-Voigt equations in the Earth's magnetic field is considered. The study was carried out in the framework of the theory of Sobolev type semilinear equations. The existence of quasistationary semitrajectories of the indicated problem is proved and its phase space is described.