Boundary Layer for a Class of Nonlinear Pipe Flow

Author

Daozhi Han, Missouri University of Science and TechnologyFollow
Anna L. Mazzucato
Dongjuan Niu
Xiaoming Wang

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^∞(H¹) norm. Higher-order asymptotics is also studied.

Recommended Citation

D. Han et al., "Boundary Layer for a Class of Nonlinear Pipe Flow," Journal of Differential Equations, vol. 252, no. 12, pp. 6387 - 6413, Elsevier, Jun 2012.

The definitive version is available at https://doi.org/10.1016/j.jde.2012.02.012

Department(s)

Mathematics and Statistics

Comments

1 Supported in part by National Science Foundation grant DMS-1008852. 2 Supported in part by National Science Foundation grants DMS-1009713 and DMS-1009714. 3 Supported in part by National Youth grant, China (No. 11001184). 4 Supported in part by National Science Foundation grant DMS-1008852, a COFRA award from FSU, and a 111 project from the Chinese Ministry of Education at Fudan University.Boundary layer; Navier-Stokes system; No-slip boundary condition; Parallel pipe flow; Prandtl theory

International Standard Serial Number (ISSN)

0022-0396

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 Elsevier, All rights reserved.

Publication Date

01 Jun 2012