Geodesic
On a Homogenous Thermoconvection Model of the Non-Compressible Viscoelastic Kelvin-Voight Fluid of the Non-Zero Order
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 33-41.

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The homogeneous thermoconvection problem of the non-compressible viscoelastic Kelvin-Voight fluid of the non-zero order is considered. The conducted research is based on the results of the semilinear Sobolev type equations theory, because the first initial value problem for the corresponding system of the differential equations in private derivatives is reduced to the abstract Cauchy problem for the specified equation. The concepts of the $p$-sectorial operator and the resolving semigroup of operators of the Cauchy problem for the corresponding linear homogeneous Sobolev type equation are used. The existence and uniqueness theorem of the solution which is a quasi-stationary semi-trajectory is proved. The complete description of the phase space is obtained.
Mots-clés : Sobolev type equations
Keywords: non-compressible viscoelastic fluid, phase space. 
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T. G. Sukacheva; O. P. Matveeva. On a Homogenous Thermoconvection Model of the Non-Compressible Viscoelastic Kelvin-Voight Fluid of the Non-Zero Order. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 33-41. http://geodesic.mathdoc.fr/item/VSGTU_2010_5_a3/

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