The generalized homogenous thermoconvection problem of the non-compressible viscoelastic fluid

The homogenous thermoconvection model of the non-compressible viscoelastic Kelvin–Voight fluid of the highest order is considered. The existence and uniqueness theorem of the solution which is a quasi-stationary semi-trajectory is proved in the frames of the Sobolev type equations theory. The description of the phase space is obtained.