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The topology of stationary curl parallel solutions of Euler's equations

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Publication:1159393
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DOI10.1007/BF02762862zbMath0475.58017MaRDI QIDQ1159393

Carmen C. Chicone

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

level setEuler's equationsfirst integralvanishing scalar product of vector field with its rotationvector field defined on a three-dimensional Riemannian manifold


Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Global Riemannian geometry, including pinching (53C20)


Related Items

On Some Properties of the Curl Operator and Their Consequences for the Navier-Stokes System, The geodesic flow generates a fast dynamo: an elementary proof, An index for closed orbits in Beltrami fields, A Geometric Approach to Regular Perturbation Theory with an Application to Hydrodynamics, Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity



Cites Work

  • Flusso geodetico sul fibrato unitario tangente di una superficie
  • One-dimensional cohomologies of Lie algebras of nondivergent vector fields and rotation numbers of dynamic systems
  • The Pythagorean group and ergodic flows
  • Anosov Flows
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