Strong exchange of stabilities in rapidly rotating parabolic Poiseuille flow

DOI10.1016/j.aml.2015.04.004zbMath1329.76366OpenAlexW2027601761MaRDI QIDQ494569

Isom H. Herron

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.04.004

zbMATH Keywords

stabilityrotationflowPoiseuille

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) General theory of rotating fluids (76U05) Hydrodynamic stability (76Exx)

Cites Work

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• Invariant helical subspaces for the Navier-Stokes equations
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• Bifurcation in Nonlinear Hydrodynamic Stability
• The principle of exchange of stabilities for Couette flow
• Kinematics of the stationary helical vortex mode in Taylor–Couette–Poiseuille Flow
• Exchange of stabilities in Couette flow between cylinders with Navier-slip conditions
• On the instability of viscous flow in a rapidly rotating pipe
• On the principle of exchange of stabilities
• Global stability of spiral flow

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