Extremalizing Vector Fields as Guides Toward Understanding Properties of Turbulence

Author(s):  
F.H. Busse
Keyword(s):  
2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA

Author(s):  
Michael Kachelriess

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.


2018 ◽  
Vol 75 (2) ◽  
pp. 121-157 ◽  
Author(s):  
Olivier Kneuss ◽  
Wladimir Neves

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