Subcritical polynomial and supercritical sine-Gordon flows with tetrahedral symmetry are formally stable while subcritical sinh-Gordon and supercritical Liouville flows are unstable in the 2D Euler equations on the sphere.
Kielh¨ ofer.Bifurcation Theory: An Introduction with Applications to Partial Differential Equations
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Bifurcation of tetrahedral non-zonal flows in spherical 2D Euler equations is governed by nonlinearity parity and mass conservation rather than geometric invariants.
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Formal Stability of Tetrahedral Non-Zonal Flows on the Sphere
Subcritical polynomial and supercritical sine-Gordon flows with tetrahedral symmetry are formally stable while subcritical sinh-Gordon and supercritical Liouville flows are unstable in the 2D Euler equations on the sphere.
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Bifurcation of Tetrahedral Non-Zonal Flows in the 2D Euler Equations on a Rotating Sphere
Bifurcation of tetrahedral non-zonal flows in spherical 2D Euler equations is governed by nonlinearity parity and mass conservation rather than geometric invariants.