Boundary layer for a class of nonlinear pipe flow

Daozhi Han; Anna L. Mazzucato; Dongjuan Niu; Xiaoming Wang

doi:10.1016/j.jde.2012.02.012

Boundary layer for a class of nonlinear pipe flow

Daozhi Han
, Anna L. Mazzucato
, Dongjuan Niu
, Xiaoming Wang

Mathematics

Pennsylvania State University
Capital Normal University
Florida State University

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We establish the mathematical validity of the Prandtl boundary-layer theory for a family of (nonlinear) parallel pipe flow. The convergence is verified under various Sobolev norms, including the physically important space-time uniform norm, as well as the L ^∞(H ¹) norm. Higher-order asymptotics is also studied.

Original language	English
Pages (from-to)	6387-6413
Number of pages	27
Journal	Journal of Differential Equations
Volume	252
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2012.02.012
State	Published - Jun 15 2012

Keywords

Boundary layer
Navier-Stokes system
No-slip boundary condition
Parallel pipe flow
Prandtl theory

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10.1016/j.jde.2012.02.012

Cite this

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title = "Boundary layer for a class of nonlinear pipe flow",

abstract = "We establish the mathematical validity of the Prandtl boundary-layer theory for a family of (nonlinear) parallel pipe flow. The convergence is verified under various Sobolev norms, including the physically important space-time uniform norm, as well as the L ∞(H 1) norm. Higher-order asymptotics is also studied.",

keywords = "Boundary layer, Navier-Stokes system, No-slip boundary condition, Parallel pipe flow, Prandtl theory",

author = "Daozhi Han and Mazzucato, \{Anna L.\} and Dongjuan Niu and Xiaoming Wang",

year = "2012",

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doi = "10.1016/j.jde.2012.02.012",

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journal = "Journal of Differential Equations",

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T1 - Boundary layer for a class of nonlinear pipe flow

AU - Han, Daozhi

AU - Mazzucato, Anna L.

AU - Niu, Dongjuan

AU - Wang, Xiaoming

PY - 2012/6/15

Y1 - 2012/6/15

N2 - We establish the mathematical validity of the Prandtl boundary-layer theory for a family of (nonlinear) parallel pipe flow. The convergence is verified under various Sobolev norms, including the physically important space-time uniform norm, as well as the L ∞(H 1) norm. Higher-order asymptotics is also studied.

AB - We establish the mathematical validity of the Prandtl boundary-layer theory for a family of (nonlinear) parallel pipe flow. The convergence is verified under various Sobolev norms, including the physically important space-time uniform norm, as well as the L ∞(H 1) norm. Higher-order asymptotics is also studied.

KW - Boundary layer

KW - Navier-Stokes system

KW - No-slip boundary condition

KW - Parallel pipe flow

KW - Prandtl theory

UR - https://www.scopus.com/pages/publications/84862806469

U2 - 10.1016/j.jde.2012.02.012

DO - 10.1016/j.jde.2012.02.012

M3 - Article

AN - SCOPUS:84862806469

SN - 0022-0396

VL - 252

SP - 6387

EP - 6413

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 12

ER -

Boundary layer for a class of nonlinear pipe flow

Abstract

Keywords

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