No. 17 (234), issue 8Pages 62 - 69

THE GENERALIZED HOMOGENOUS THERMOCONVECTION PROBLEM OF THE NON-COMPRESSIBLE VISCOELASTIC FLUID

O.P. Matveeva, T.G. Sukacheva
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.
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Keywords
Sobolev type equations, an incompressible viscoelastic fluid, phase space. -