Boundary Layer Associated with a Class of 3D Nonlinear Plane Parallel Channel Flows
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.
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
Mathematics and Statistics
Keywords and Phrases
35Q30; Boundary Layer Analysis. 2000 MATHEMATICS SUBJECT CLASSIFICATION: 76B47; Navier-Stokes Equations
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2011