The Generalized Linearized Model of Incompressible Viscoelastic Fluid of Nonzero Order
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 11 (2012), pp. 75-87

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In the frames of the non-autonomous sobolev type equations The Cauchy–Dirichlet problem for the generalized linearized Oskolkov's system modeling thermoconvection of the incompressible viscoelastic fluid of the nonzero order is considered. The theorem of the existence of the unique solution of this problem is proved and the description of its extended phase space is received.
Mots-clés : Sobolev type equation
Keywords: an incompressible viscoelastic fluid, Oskolkov models, extended phase space.
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     title = {The {Generalized} {Linearized} {Model} of {Incompressible} {Viscoelastic} {Fluid} of {Nonzero} {Order}},
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     pages = {75--87},
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T. G. Sukacheva. The Generalized Linearized Model of Incompressible Viscoelastic Fluid of Nonzero Order. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 11 (2012), pp. 75-87. http://geodesic.mathdoc.fr/item/VYURU_2012_11_a7/