Boundary layer associated with a class of 3D nonlinear plane parallel channel flows

Anna Mazzucato; Dongjuan Niu; Xiaoming Wang

doi:10.1512/iumj.2011.60.4479

Boundary layer associated with a class of 3D nonlinear plane parallel channel flows

Anna Mazzucato
, Dongjuan Niu
, Xiaoming Wang

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

25 Scopus citations

Abstract

We establish the mathematical validity of the Prandtl boundary layer theory for a family of (nonlinear) plane parallel flow. The convergence is proved under various Sobolev norms, including the physically important space-time uniform norm, as well as the L∞(H¹) norm. Higher-order asymptotics are also considered.

Original language	English (US)
Pages (from-to)	1113-1136
Number of pages	24
Journal	Indiana University Mathematics Journal
Volume	60
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2011.60.4479
State	Published - 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1512/iumj.2011.60.4479

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abstract = "We establish the mathematical validity of the Prandtl boundary layer theory for a family of (nonlinear) plane parallel flow. The convergence is proved under various Sobolev norms, including the physically important space-time uniform norm, as well as the L∞(H1) norm. Higher-order asymptotics are also considered.",

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AU - Mazzucato, Anna

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AB - We establish the mathematical validity of the Prandtl boundary layer theory for a family of (nonlinear) plane parallel flow. The convergence is proved under various Sobolev norms, including the physically important space-time uniform norm, as well as the L∞(H1) norm. Higher-order asymptotics are also considered.

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EP - 1136

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Boundary layer associated with a class of 3D nonlinear plane parallel channel flows

Abstract

All Science Journal Classification (ASJC) codes

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