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Boundary layer for 3D nonlinear parallel pipe flow of nonhomogeneous incompressible Navier‐Stokes equations
Author(s) -
Ding Shijin,
Lin Zhilin,
Wang Cuiyu
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6707
Subject(s) - mathematics , prandtl number , boundary layer , nonlinear system , mathematical analysis , navier–stokes equations , compressibility , incompressible flow , sobolev space , flow (mathematics) , boundary layer thickness , boundary value problem , blasius boundary layer , boundary (topology) , mechanics , geometry , physics , heat transfer , quantum mechanics
In this paper, we justify the mathematical validity of the Prandtl boundary layer theory for a class of nonlinear parallel pipe flow of nonhomogeneous incompressible Navier‐Stokes equations. The convergence for velocity is shown under various Sobolev norms. In addition, the higher‐order asymptotic expansions are also considered. And the mathematical validity of the Prandtl boundary layer theory for nonlinear parallel pipe flow is generalized to the nonhomogeneous case.