Partial asymptotic decomposition of domain: Navier-Stokes equation in tube structure

DOI10.1016/S1251-8069(99)80045-3zbMath0964.76017MaRDI QIDQ4948421

Gregory P. Panasenko

Publication date: 7 June 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsthin cylindertube structureasymptotic partial decomposition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

Numerical solution of the viscous flows in a network of thin tubes: equations on the graph ⋮ Time periodic Navier-Stokes equations in a thin tube structure ⋮ Partial asymptotic dimension reduction for steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure ⋮ Hybrid asymptotic-numerical modeling of thin layers for dynamic thermal analysis of structures ⋮ Reconstruction of the Pressure in the Method of Asymptotic Partial Decomposition for the Flows in Tube Structures ⋮ Junction of Models of Different Dimension for Flows in Tube Structures by Womersley-Type Interface Conditions ⋮ Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. I: The case without boundary-layer-in-time

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