Isoperimetric problems for the helicity of vector fields and the Biot–Savart and curl operators

2000 ◽  
Vol 41 (8) ◽  
pp. 5615-5641 ◽  
Author(s):  
Jason Cantarella ◽  
Dennis DeTurck ◽  
Herman Gluck ◽  
Mikhail Teytel
Keyword(s):  
Vector Fields ◽  
Isoperimetric Problems ◽  
Curl Operators

Parallel Computation of Complex Antennas around the Coated Object Using Iterative Vector Fields Technique

2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA
Keyword(s):  
Parallel Computation ◽  
Vector Fields

Spacetime symmetries

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Riemannian Manifold ◽  
Conservation Laws ◽  
Vector Fields ◽  
Killing Vector ◽  
Geodesic Equation ◽  
Spacetime Symmetries ◽  
Tensor Fields ◽  
Killing Vector Fields ◽  
Covariant Derivatives ◽  
Killing Equation

This chapter introduces tensor fields, covariant derivatives and the geodesic equation on a (pseudo-) Riemannian manifold. It discusses how symmetries of a general space-time can be found from the Killing equation, and how the existence of Killing vector fields is connected to global conservation laws.

On flows generated by vector fields with compact support

2018 ◽  
Vol 75 (2) ◽  
pp. 121-157 ◽  
Author(s):  
Olivier Kneuss ◽  
Wladimir Neves
Keyword(s):  
Compact Support ◽  
Vector Fields
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