An ODE for boundary layer separation on a sphere and a hyperbolic space

DOI10.1016/j.physd.2014.05.004zbMath1349.76076arXiv1402.2038OpenAlexW2059788405MaRDI QIDQ2832920

Chi Hin Chan, Tsuyoshi Yoneda, Magdalena Czubak

Publication date: 15 November 2016

Published in: Physica D: Nonlinear Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2038

zbMATH Keywords

Riemannian manifoldsNavier-Stokes equationboundary layer separationCoriolis effect

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Applications of PDEs on manifolds (58J90)

Related Items (5)

A local instability mechanism of the Navier-Stokes flow with swirl on the no-slip flat boundary ⋮ Interior structural bifurcation of 2D symmetric incompressible flows ⋮ Locality of vortex stretching for the 3D Euler equations ⋮ Separation of the two-dimensional steady MHD boundary layer ⋮ STRUCTURAL BIFURCATION OF DIVERGENCE-FREE VECTOR FIELDS NEAR NON-SIMPLE DEGENERATE POINTS WITH SYMMETRY

Cites Work

• On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space
• The spontaneous generation of the singularity in a separating laminar boundary layer
• Boundary layer separation and structural bifurcation for 2-D incompressible fluid flows.
• Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow
• Structural bifurcation of 2-D incompressible flows
• Structural Bifurcation of 2-D Nondivergent Flows with Dirichlet Boundary Conditions: Applications to Boundary-Layer Separation
• Structure of 2D incompressible flows with the Dirichlet boundary conditions
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