Method of asymptotic partial decomposition of domain for multistructures
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2017Metadata
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Panasenko, Grigory
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Method of asymptotic partial decomposition of domain for multistructures
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Abstract
Method of asymptotic partial decomposition of a domain (MAPDD) proposed and justified earlier for thin domains (rod structures, tube structures) is generalized and justified for the multistructures, i.e. domains consisting of a set of thin cylinders connecting some massive 3D domains. In the present paper, the Dirichlet boundary value problem for the steady-state Stokes equations is considered. This problem is reduced to the Stokes equations in the massive domains coupled with the Poiseuille-type flows within the thin cylinders at some distance from the bases (the MAPDD approximation problem). The high-order estimates for the difference of the exact solution to the initial problem and the solution to the MAPDD approximation problem is proved.
Patrocinador
Russian Scientific Foundation
14-11-00306 /
LABEX MILYON of University of Lyon, within the program "Investissements d'Avenir"
ANR-10-LABX-0070
ANR-11-IDEX-0007
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Applicable Analysis, 2017 Vol. 96, No. 16, 2771–2779
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