Exact steady-state solutions of 3D toroidal flows and their stability

DOI10.1016/j.geomphys.2018.06.006zbMath1397.35233OpenAlexW2809336368WikidataQ129652076 ScholiaQ129652076MaRDI QIDQ1664014

Jiayan Yang, Ruikuan Liu, Quan Wang

Publication date: 24 August 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.06.006

zbMATH Keywords

Navier-Stokes equationsimplicit function theoremtoroidal coordinatesRiemannian geometry methodcontinuous and catastrophic transition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Cites Work

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• Astrophysical Dynamics and Cosmology
• The Navier-Stokes Equations
• Riemannian geometry and geometric analysis
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