Calculus of variations and partial differential equations, 2021-08, Vol.60 (4), Article 127
2021
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Details
- Autor(en) / Beteiligte
- Titel
- Dynamics of nearly parallel vortex filaments for the Gross–Pitaevskii equation
- Ist Teil von
- Calculus of variations and partial differential equations, 2021-08, Vol.60 (4), Article 127
- Ort / Verlag
- Berlin/Heidelberg: Springer Berlin Heidelberg
- Erscheinungsjahr
- 2021
- Quelle
- SpringerLink
- Beschreibungen/Notizen
- Klein et al. (J Fluid Mech 288:201–248, 1995) have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in the context of the three dimensional Euler equation for incompressible fluids. In the present work, we rigorously derive the corresponding asymptotic motion law in the context of the Gross–Pitaevskii equation.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0944-2669eISSN: 1432-0835DOI: 10.1007/s00526-021-01984-wTitel-ID: cdi_proquest_journals_2545239800
- Format
- –
- Schlagworte
- Analysis, Asymptotic properties, Calculus of Variations and Optimal Control, Optimization, Context, Control, Euler-Lagrange equation, Filaments, Fluid dynamics, Fluid flow, Incompressible flow, Incompressible fluids, Mathematical and Computational Physics, Mathematics, Mathematics and Statistics, Systems Theory, Theoretical, Vortex filaments