Remarks on the Prandtl Equation for a Permeable Wall

DOI<835::AID-ZAMM835>3.0.CO;2-9 10.1002/1521-4001(200011)80:11/12<835::AID-ZAMM835>3.0.CO;2-9zbMath1050.76018OpenAlexW1978246148MaRDI QIDQ4761318

Xiaoming Wang, Roger M. Temam

Publication date: 2000

Full work available at URL: https://doi.org/10.1002/1521-4001(200011)80:11/12<835::aid-zamm835>3.0.co;2-9

zbMATH Keywords

Navier-Stokes equationsEuler equationsvanishing viscosity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30)

Related Items (14)

Instability of a two-dimensional viscous flow in an annulus with permeable walls to two-dimensional perturbations ⋮ Inviscid instability of an incompressible flow between rotating porous cylinders to three-dimensional perturbations ⋮ Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system ⋮ Boundary layer for a class of nonlinear pipe flow ⋮ Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media ⋮ On multiscale homogenization problems in boundary layer theory ⋮ Boundary layer problem of MHD system with non-characteristic perfect conducting wall ⋮ Viscous boundary layers in flows through a domain with permeable boundary ⋮ Equations of boundary layer for a generalized Newtonian medium near a critical point ⋮ The boundary layer problem of MHD system with the non-characteristic Dirichlet boundary condition for velocity ⋮ On the stability of the Couette-Taylor flow between rotating porous cylinders with radial flow ⋮ Equations of symmetric MHD-boundary layer of viscous fluid with Ladyzhenskaya rheology law ⋮ Vanishing porosity limit of the coupled Stokes-Brinkman system ⋮ Recent progresses in boundary layer theory

Cites Work

• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case
• Existence and asymptotic representation of weak solutions to the flowing problem under the condition of regular slippage on solid walls
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