Biot-Savart helicity versus physical helicity: A topological description of ideal flows
From MaRDI portal
Publication:3189946
DOI10.1063/1.4889935zbMath1366.76078arXiv1405.2472OpenAlexW2016174536MaRDI QIDQ3189946
Taliya Sahihi, Homayoon Eshraghi
Publication date: 12 September 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.2472
Applications of differential geometry to physics (53Z05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A mathematical introduction to fluid mechanics
- A new cohomological formula for helicity in \(\mathbb R^{2k+1}\) reveals the effect of a diffeomorphism on helicity
- Asymptotic links
- Topological methods in hydrodynamics
- Isoperimetric problems for the helicity of vector fields and the Biot–Savart and curl operators
- A general mutual helicity formula
- The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics
- A THEOREM ON FORCE-FREE MAGNETIC FIELDS
- ON HYDROMAGNETIC EQUILIBRIUM
- Vector Calculus and the Topology of Domains in 3-Space
- Some Remarks on Topological Fluid Mechanics
- Average linking numbers
- The degree of knottedness of tangled vortex lines
- ON FORCE-FREE MAGNETIC FIELDS
This page was built for publication: Biot-Savart helicity versus physical helicity: A topological description of ideal flows
