Asymptotic description of vortex filaments in an incompressible liquid (Q2761279)
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scientific article; zbMATH DE number 1683335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic description of vortex filaments in an incompressible liquid |
scientific article; zbMATH DE number 1683335 |
Statements
18 December 2001
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perturbation theory
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vortex filament equations
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Prandtl equations
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topological invariants
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fluid velocity field
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radially symmetric vortex filament
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boundary-layer theory
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periodic coherent pulsations
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Moffatt-Kida-Ohkitani vortex
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conservation laws
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Morse theory
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integrable Hamiltonian systems
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self-induced pressure
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Navier-Stokes equations
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Asymptotic description of vortex filaments in an incompressible liquid (English)
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The paper addresses a perturbation theory of vortex filament in incompressible low-viscosity fluid. The author studies a relationship between the equations of the vortex filament and the topological invariants of the fluid velocity field. The vortex filament equations are shown to be similar to Prandtl equations in boundary-layer theory. In conclusion, the author examines a radially symmetric vortex filament in ideal fluid.
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