Geodesic
The generalized homogenous thermoconvection problem of the non-compressible viscoelastic fluid
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 62-69

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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.
Mots-clés : Sobolev type equations
Keywords: an incompressible viscoelastic fluid, phase space. 
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     author = {O. P. Matveeva and T. G. Sukacheva},
     title = {The generalized homogenous thermoconvection problem of the non-compressible viscoelastic fluid},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {62--69},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_8_a6/}
}
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O. P. Matveeva; T. G. Sukacheva. The generalized homogenous thermoconvection problem of the non-compressible viscoelastic fluid. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 62-69. http://geodesic.mathdoc.fr/item/VYURU_2011_8_a6/