Steady Euler flows and the Faddeev-Skyrme model with mass term

Abstract

We point out a duality between steady incompressible Euler flows and solutions of the strongly coupled Faddeev-Skyrme sigma model with potential (mass) term. We supplement this result with various applications and several explicit examples.

18 pages. Proposition 4 was corrected

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• Topological energy bounds for the Skyrme and Faddeev models with massive pions
• Massive Hopfions
• Unwinding in Hopfion vortex bunches
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Cited by in corpus (3)

• Steady three-dimensional rotational flows: an approach via two stream functions and Nash-Moser iteration
• Energy minimizing Beltrami fields on Sasakian 3-manifolds
• Steady Euler flows on the 3-sphere and other Sasakian 3-manifolds