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Asymptotic partition of energy in micropolar mixture theory of porous media
Authors:Ionel–Dumitrel Ghiba
Institution:(1) “Octav Mayer” Mathematics Institute, Romanian Academy of Science, Iaşi Branch, Bd. Carol I, nr. 8, 700506 Iaşi, Romania
Abstract:The aim of this paper is to study the asymptotic partition of the energy associated with the solution of the initial-boundary value problem who describes the behavior of binary homogeneous micropolar mixtures of an isotropic micropolar elastic solid with an incompressible micropolar viscous fluid. Some Lagrange-Brun identities are established. Using the Cesáro means of various parts of total energy, the relations that describe the asymptotic behavior of mean energies are established. The author acknowledges support from the Romanian Ministry of Education and Research through CEEX program, contract CERES-2-CEx06-11-12/25.07.2006.
Keywords:Micropolar mixture  Micropolar elastic solid  Incompressible micropolar viscous fluid  Asymptotic partition of energy  Mechanics of solids and structures
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