Boundary layer for 3D nonlinear parallel pipe flow of nonhomogeneous incompressible Navier‐Stokes equations. (12th July 2020)

• Record Type: Journal Article
• Authors: Ding, Shijin; Lin, Zhilin; Wang, Cuiyu
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 1(2021)
• Page Start: 43
• Page End: 65
• Publication Date: 2020-07-12
• Subjects: incompressible nonhomogeneous Navier‐Stokes system -- nonlinear parallel pipe flow -- Prandtl boundary layer; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6707
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we justify the mathematical validity of the Prandtl boundary layer theory for a class of nonlinear parallel pipe flow of nonhomogeneous incompressible Navier‐Stokes equations. The convergence for velocity is shown under various Sobolev norms. In addition, the higher‐order asymptotic expansions are also considered. And the mathematical validity of the Prandtl boundary layer theory for nonlinear parallel pipe flow is generalized to the nonhomogeneous case.