The thermoconvection problem for the linearizied model of the incompressible viscoelastic fluid of the nonzero order

T. G. Sukacheva

Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 10 (2011), pp. 40-53

Résumé

The Cauchy–Dirichlet problem for the linearized system modeling thermoconvection of the incompressible viscoelastic fluid of the nonzero order is considered. This problem is investigated on the base of the theory of relatively $p$-sectorial operators and degenerative semi-groups of operators. The theorem of the existence of the unique solution of this problem is proved and the description of its extended phase space is received.

Détail

Mots-clés : Sobolev type equation
Keywords: an incompressible viscoelastic fluid, relatively $p$-sectorial operator, extended phase space.

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