Boundary-layer and interior separations in the Taylor–Couette–Poiseuille flow

DOI10.1063/1.3093268zbMath1202.76049arXivmath-ph/0701073OpenAlexW3105379737MaRDI QIDQ3650471

Tian Ma, Shouhong Wang

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0701073

zbMATH Keywords

Navier-Stokes equationsbifurcationboundary layersPoiseuille flowCouette flowflow instability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Viscous vortex flows (76D17)

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Cites Work

• Structural classification and stability of divergence-free vector fields
• Dynamic bifurcation and stability in the Rayleigh-Bénard convection
• Structural bifurcation of 2-D incompressible flows
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• Kinematics of the stationary helical vortex mode in Taylor–Couette–Poiseuille Flow
• Interior structural bifurcation and separation of 2D 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