Boundary Layer Associated with a Class of 3D Nonlinear Plane Parallel Channel Flows

Author

Anna Mazzucato
Dongjuan Niu
Xiaoming Wang, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

A. Mazzucato et al., "Boundary Layer Associated with a Class of 3D Nonlinear Plane Parallel Channel Flows," Indiana University Mathematics Journal, vol. 60, no. 4, pp. 1113 - 1136, Indiana University Mathematics Journal, Jan 2011.

The definitive version is available at https://doi.org/10.1512/iumj.2011.60.4479

Department(s)

Mathematics and Statistics

Keywords and Phrases

35Q30; Boundary Layer Analysis. 2000 MATHEMATICS SUBJECT CLASSIFICATION: 76B47; Navier-Stokes Equations

International Standard Serial Number (ISSN)

0022-2518

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Indiana University Mathematics Journal, All rights reserved.

Publication Date

01 Jan 2011