Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Li, Quanrong¹  Ding, Shijin² 

[1] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China

[2] South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou 510631, Guangdong, Peoples R China

关键词: Steady Navier-Stokes equations;    Inviscid limit;    Prandtl boundary layer expansions;    Convergence rate;   

DOI  :  10.1016/j.jde.2019.09.030

来源: Elsevier

【 摘 要 】

This paper is concerned with the validity of the Prandtl boundary layer theory in the inviscid limit of the steady incompressible Navier-Stokes equations, which is an extension of the pioneer paper [13] (Y. Guo et al., 2017, Ann. PDE) from a domain of [0, L] x R+ to [0, L] x [0, 2]. Under the symmetry assumption, we establish the validity of the Prandtl boundary layer expansions and the error estimates. The convergence rate as epsilon -> 0 is also given. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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